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Finding the Fourth Proportional to 24,705.60, 37,077.84 and 9,127.68

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Solution

The fourth proportional to 24,705.60, 37,077.84 and 9,127.68 is: 13,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.60 : 37,077.84 = 9,127.68 : x
  2. Step 2: Convert to fraction form
    24,705.60/37,077.84 = 9,127.68/x
  3. Step 3: Cross multiply
    24,705.60x = 37,077.84 × 9,127.68
  4. Step 4: Simplify right side
    24,705.60x = 338,434,658.61
  5. Step 5: Solve for x
    x = 338,434,658.61/24,705.60
  6. Step 6: Final answer
    x = 13,698.70

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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.