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Finding the Fourth Proportional to 16,580.98, 22,882.38 and 9,508.72

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Solution

The fourth proportional to 16,580.98, 22,882.38 and 9,508.72 is: 13,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.98 : 22,882.38 = 9,508.72 : x
  2. Step 2: Convert to fraction form
    16,580.98/22,882.38 = 9,508.72/x
  3. Step 3: Cross multiply
    16,580.98x = 22,882.38 × 9,508.72
  4. Step 4: Simplify right side
    16,580.98x = 217,582,144.35
  5. Step 5: Solve for x
    x = 217,582,144.35/16,580.98
  6. Step 6: Final answer
    x = 13,122.39

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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.