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Finding the Fourth Proportional to 24,732.59, 34,125.93 and 14,656.59

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Solution

The fourth proportional to 24,732.59, 34,125.93 and 14,656.59 is: 20,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.59 : 34,125.93 = 14,656.59 : x
  2. Step 2: Convert to fraction form
    24,732.59/34,125.93 = 14,656.59/x
  3. Step 3: Cross multiply
    24,732.59x = 34,125.93 × 14,656.59
  4. Step 4: Simplify right side
    24,732.59x = 500,169,764.38
  5. Step 5: Solve for x
    x = 500,169,764.38/24,732.59
  6. Step 6: Final answer
    x = 20,223.11

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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.