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Finding the Fourth Proportional to 24,871.71, 34,322.94 and 13,693.71

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Solution

The fourth proportional to 24,871.71, 34,322.94 and 13,693.71 is: 18,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.71 : 34,322.94 = 13,693.71 : x
  2. Step 2: Convert to fraction form
    24,871.71/34,322.94 = 13,693.71/x
  3. Step 3: Cross multiply
    24,871.71x = 34,322.94 × 13,693.71
  4. Step 4: Simplify right side
    24,871.71x = 470,008,386.71
  5. Step 5: Solve for x
    x = 470,008,386.71/24,871.71
  6. Step 6: Final answer
    x = 18,897.31

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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.