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Finding the Fourth Proportional to 16,257.52, 22,437.20 and 9,184.39

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Solution

The fourth proportional to 16,257.52, 22,437.20 and 9,184.39 is: 12,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.52 : 22,437.20 = 9,184.39 : x
  2. Step 2: Convert to fraction form
    16,257.52/22,437.20 = 9,184.39/x
  3. Step 3: Cross multiply
    16,257.52x = 22,437.20 × 9,184.39
  4. Step 4: Simplify right side
    16,257.52x = 206,072,036.72
  5. Step 5: Solve for x
    x = 206,072,036.72/16,257.52
  6. Step 6: Final answer
    x = 12,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.