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Finding the Fourth Proportional to 24,733.59, 34,127.31 and 14,657.59

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Solution

The fourth proportional to 24,733.59, 34,127.31 and 14,657.59 is: 20,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.59 : 34,127.31 = 14,657.59 : x
  2. Step 2: Convert to fraction form
    24,733.59/34,127.31 = 14,657.59/x
  3. Step 3: Cross multiply
    24,733.59x = 34,127.31 × 14,657.59
  4. Step 4: Simplify right side
    24,733.59x = 500,224,117.78
  5. Step 5: Solve for x
    x = 500,224,117.78/24,733.59
  6. Step 6: Final answer
    x = 20,224.48

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