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Finding the Fourth Proportional to 24,730.20, 37,069.16 and 8,085.78

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Solution

The fourth proportional to 24,730.20, 37,069.16 and 8,085.78 is: 12,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.20 : 37,069.16 = 8,085.78 : x
  2. Step 2: Convert to fraction form
    24,730.20/37,069.16 = 8,085.78/x
  3. Step 3: Cross multiply
    24,730.20x = 37,069.16 × 8,085.78
  4. Step 4: Simplify right side
    24,730.20x = 299,733,032.12
  5. Step 5: Solve for x
    x = 299,733,032.12/24,730.20
  6. Step 6: Final answer
    x = 12,120.12

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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.