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Finding the Fourth Proportional to 15,471.89, 23,204.12 and 7,143.91

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Solution

The fourth proportional to 15,471.89, 23,204.12 and 7,143.91 is: 10,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.89 : 23,204.12 = 7,143.91 : x
  2. Step 2: Convert to fraction form
    15,471.89/23,204.12 = 7,143.91/x
  3. Step 3: Cross multiply
    15,471.89x = 23,204.12 × 7,143.91
  4. Step 4: Simplify right side
    15,471.89x = 165,767,993.17
  5. Step 5: Solve for x
    x = 165,767,993.17/15,471.89
  6. Step 6: Final answer
    x = 10,714.14

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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.