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Finding the Fourth Proportional to 24,772.16, 37,160.16 and 6,304

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Solution

The fourth proportional to 24,772.16, 37,160.16 and 6,304 is: 9,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.16 : 37,160.16 = 6,304 : x
  2. Step 2: Convert to fraction form
    24,772.16/37,160.16 = 6,304/x
  3. Step 3: Cross multiply
    24,772.16x = 37,160.16 × 6,304
  4. Step 4: Simplify right side
    24,772.16x = 234,257,648.64
  5. Step 5: Solve for x
    x = 234,257,648.64/24,772.16
  6. Step 6: Final answer
    x = 9,456.49

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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.