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Finding the Fourth Proportional to 15,671.16, 23,507.28 and 5,142.96

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Solution

The fourth proportional to 15,671.16, 23,507.28 and 5,142.96 is: 7,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671.16 : 23,507.28 = 5,142.96 : x
  2. Step 2: Convert to fraction form
    15,671.16/23,507.28 = 5,142.96/x
  3. Step 3: Cross multiply
    15,671.16x = 23,507.28 × 5,142.96
  4. Step 4: Simplify right side
    15,671.16x = 120,897,000.75
  5. Step 5: Solve for x
    x = 120,897,000.75/15,671.16
  6. Step 6: Final answer
    x = 7,714.62

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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.