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Finding the Fourth Proportional to 14,232, 19,641.12 and 7,944.51

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Solution

The fourth proportional to 14,232, 19,641.12 and 7,944.51 is: 10,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 19,641.12 = 7,944.51 : x
  2. Step 2: Convert to fraction form
    14,232/19,641.12 = 7,944.51/x
  3. Step 3: Cross multiply
    14,232x = 19,641.12 × 7,944.51
  4. Step 4: Simplify right side
    14,232x = 156,039,074.25
  5. Step 5: Solve for x
    x = 156,039,074.25/14,232
  6. Step 6: Final answer
    x = 10,963.96

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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.