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Finding the Fourth Proportional to 24,762.32, 37,135.32 and 11,429.86

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Solution

The fourth proportional to 24,762.32, 37,135.32 and 11,429.86 is: 17,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.32 : 37,135.32 = 11,429.86 : x
  2. Step 2: Convert to fraction form
    24,762.32/37,135.32 = 11,429.86/x
  3. Step 3: Cross multiply
    24,762.32x = 37,135.32 × 11,429.86
  4. Step 4: Simplify right side
    24,762.32x = 424,451,508.66
  5. Step 5: Solve for x
    x = 424,451,508.66/24,762.32
  6. Step 6: Final answer
    x = 17,141.02

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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.