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Finding the Fourth Proportional to 14,774.65, 20,396.54 and 11,409.91

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Solution

The fourth proportional to 14,774.65, 20,396.54 and 11,409.91 is: 15,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.65 : 20,396.54 = 11,409.91 : x
  2. Step 2: Convert to fraction form
    14,774.65/20,396.54 = 11,409.91/x
  3. Step 3: Cross multiply
    14,774.65x = 20,396.54 × 11,409.91
  4. Step 4: Simplify right side
    14,774.65x = 232,722,685.71
  5. Step 5: Solve for x
    x = 232,722,685.71/14,774.65
  6. Step 6: Final answer
    x = 15,751.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.