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Finding the Fourth Proportional to 24,334.10, 36,500.92 and 7,694.13

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Solution

The fourth proportional to 24,334.10, 36,500.92 and 7,694.13 is: 11,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.10 : 36,500.92 = 7,694.13 : x
  2. Step 2: Convert to fraction form
    24,334.10/36,500.92 = 7,694.13/x
  3. Step 3: Cross multiply
    24,334.10x = 36,500.92 × 7,694.13
  4. Step 4: Simplify right side
    24,334.10x = 280,842,941.24
  5. Step 5: Solve for x
    x = 280,842,941.24/24,334.10
  6. Step 6: Final answer
    x = 11,541.13

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Why These Related Problems?

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