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Finding the Fourth Proportional to 24,877.68, 37,304.70 and 9,071.52

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Solution

The fourth proportional to 24,877.68, 37,304.70 and 9,071.52 is: 13,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,877.68 : 37,304.70 = 9,071.52 : x
  2. Step 2: Convert to fraction form
    24,877.68/37,304.70 = 9,071.52/x
  3. Step 3: Cross multiply
    24,877.68x = 37,304.70 × 9,071.52
  4. Step 4: Simplify right side
    24,877.68x = 338,410,332.14
  5. Step 5: Solve for x
    x = 338,410,332.14/24,877.68
  6. Step 6: Final answer
    x = 13,602.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.