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Finding the Fourth Proportional to 23,593.87, 32,574.72 and 14,654.31

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Solution

The fourth proportional to 23,593.87, 32,574.72 and 14,654.31 is: 20,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,593.87 : 32,574.72 = 14,654.31 : x
  2. Step 2: Convert to fraction form
    23,593.87/32,574.72 = 14,654.31/x
  3. Step 3: Cross multiply
    23,593.87x = 32,574.72 × 14,654.31
  4. Step 4: Simplify right side
    23,593.87x = 477,360,045.04
  5. Step 5: Solve for x
    x = 477,360,045.04/23,593.87
  6. Step 6: Final answer
    x = 20,232.38

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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.