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Finding the Fourth Proportional to 24,870.76, 37,304.88 and 9,287.20

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Solution

The fourth proportional to 24,870.76, 37,304.88 and 9,287.20 is: 13,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.76 : 37,304.88 = 9,287.20 : x
  2. Step 2: Convert to fraction form
    24,870.76/37,304.88 = 9,287.20/x
  3. Step 3: Cross multiply
    24,870.76x = 37,304.88 × 9,287.20
  4. Step 4: Simplify right side
    24,870.76x = 346,457,881.54
  5. Step 5: Solve for x
    x = 346,457,881.54/24,870.76
  6. Step 6: Final answer
    x = 13,930.33

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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.