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Finding the Fourth Proportional to 15,737.74, 23,621.19 and 7,952.02

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Solution

The fourth proportional to 15,737.74, 23,621.19 and 7,952.02 is: 11,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.74 : 23,621.19 = 7,952.02 : x
  2. Step 2: Convert to fraction form
    15,737.74/23,621.19 = 7,952.02/x
  3. Step 3: Cross multiply
    15,737.74x = 23,621.19 × 7,952.02
  4. Step 4: Simplify right side
    15,737.74x = 187,836,175.30
  5. Step 5: Solve for x
    x = 187,836,175.30/15,737.74
  6. Step 6: Final answer
    x = 11,935.40

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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.