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Finding the Fourth Proportional to 15,295.16, 22,952.82 and 8,374.52

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Solution

The fourth proportional to 15,295.16, 22,952.82 and 8,374.52 is: 12,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295.16 : 22,952.82 = 8,374.52 : x
  2. Step 2: Convert to fraction form
    15,295.16/22,952.82 = 8,374.52/x
  3. Step 3: Cross multiply
    15,295.16x = 22,952.82 × 8,374.52
  4. Step 4: Simplify right side
    15,295.16x = 192,218,850.15
  5. Step 5: Solve for x
    x = 192,218,850.15/15,295.16
  6. Step 6: Final answer
    x = 12,567.30

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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.