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Finding the Fourth Proportional to 22,707.64, 34,052.82 and 10,387

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Solution

The fourth proportional to 22,707.64, 34,052.82 and 10,387 is: 15,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.64 : 34,052.82 = 10,387 : x
  2. Step 2: Convert to fraction form
    22,707.64/34,052.82 = 10,387/x
  3. Step 3: Cross multiply
    22,707.64x = 34,052.82 × 10,387
  4. Step 4: Simplify right side
    22,707.64x = 353,706,641.34
  5. Step 5: Solve for x
    x = 353,706,641.34/22,707.64
  6. Step 6: Final answer
    x = 15,576.55

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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.