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Finding the Fourth Proportional to 15,645.58, 23,472.33 and 4,552

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Solution

The fourth proportional to 15,645.58, 23,472.33 and 4,552 is: 6,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.58 : 23,472.33 = 4,552 : x
  2. Step 2: Convert to fraction form
    15,645.58/23,472.33 = 4,552/x
  3. Step 3: Cross multiply
    15,645.58x = 23,472.33 × 4,552
  4. Step 4: Simplify right side
    15,645.58x = 106,846,046.16
  5. Step 5: Solve for x
    x = 106,846,046.16/15,645.58
  6. Step 6: Final answer
    x = 6,829.15

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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.