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Finding the Fourth Proportional to 24,257.46, 33,472.59 and 13,646.88

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Solution

The fourth proportional to 24,257.46, 33,472.59 and 13,646.88 is: 18,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.46 : 33,472.59 = 13,646.88 : x
  2. Step 2: Convert to fraction form
    24,257.46/33,472.59 = 13,646.88/x
  3. Step 3: Cross multiply
    24,257.46x = 33,472.59 × 13,646.88
  4. Step 4: Simplify right side
    24,257.46x = 456,796,419.02
  5. Step 5: Solve for x
    x = 456,796,419.02/24,257.46
  6. Step 6: Final answer
    x = 18,831.17

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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.