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Finding the Fourth Proportional to 24,068.43, 36,099.31 and 7,429.01

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Solution

The fourth proportional to 24,068.43, 36,099.31 and 7,429.01 is: 11,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,068.43 : 36,099.31 = 7,429.01 : x
  2. Step 2: Convert to fraction form
    24,068.43/36,099.31 = 7,429.01/x
  3. Step 3: Cross multiply
    24,068.43x = 36,099.31 × 7,429.01
  4. Step 4: Simplify right side
    24,068.43x = 268,182,026.16
  5. Step 5: Solve for x
    x = 268,182,026.16/24,068.43
  6. Step 6: Final answer
    x = 11,142.48

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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.