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Finding the Fourth Proportional to 16,102.76, 24,154.12 and 5,714.52

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Solution

The fourth proportional to 16,102.76, 24,154.12 and 5,714.52 is: 8,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.76 : 24,154.12 = 5,714.52 : x
  2. Step 2: Convert to fraction form
    16,102.76/24,154.12 = 5,714.52/x
  3. Step 3: Cross multiply
    16,102.76x = 24,154.12 × 5,714.52
  4. Step 4: Simplify right side
    16,102.76x = 138,029,201.82
  5. Step 5: Solve for x
    x = 138,029,201.82/16,102.76
  6. Step 6: Final answer
    x = 8,571.77

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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.