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Finding the Fourth Proportional to 13,849,478.96, 20,774,641.65 and 4,751,448.92

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Solution

The fourth proportional to 13,849,478.96, 20,774,641.65 and 4,751,448.92 is: 7,127,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849,478.96 : 20,774,641.65 = 4,751,448.92 : x
  2. Step 2: Convert to fraction form
    13,849,478.96/20,774,641.65 = 4,751,448.92/x
  3. Step 3: Cross multiply
    13,849,478.96x = 20,774,641.65 × 4,751,448.92
  4. Step 4: Simplify right side
    13,849,478.96x = 98,709,648,631,279.52
  5. Step 5: Solve for x
    x = 98,709,648,631,279.52/13,849,478.96
  6. Step 6: Final answer
    x = 7,127,318.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.