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Finding the Fourth Proportional to 15,175.34, 22,760.15 and 4,642.50

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Solution

The fourth proportional to 15,175.34, 22,760.15 and 4,642.50 is: 6,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.34 : 22,760.15 = 4,642.50 : x
  2. Step 2: Convert to fraction form
    15,175.34/22,760.15 = 4,642.50/x
  3. Step 3: Cross multiply
    15,175.34x = 22,760.15 × 4,642.50
  4. Step 4: Simplify right side
    15,175.34x = 105,663,973.16
  5. Step 5: Solve for x
    x = 105,663,973.16/15,175.34
  6. Step 6: Final answer
    x = 6,962.88

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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.