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Finding the Fourth Proportional to 15,143.72, 22,732.62 and 6,386

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Solution

The fourth proportional to 15,143.72, 22,732.62 and 6,386 is: 9,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.72 : 22,732.62 = 6,386 : x
  2. Step 2: Convert to fraction form
    15,143.72/22,732.62 = 6,386/x
  3. Step 3: Cross multiply
    15,143.72x = 22,732.62 × 6,386
  4. Step 4: Simplify right side
    15,143.72x = 145,170,511.32
  5. Step 5: Solve for x
    x = 145,170,511.32/15,143.72
  6. Step 6: Final answer
    x = 9,586.19

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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.