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Finding the Fourth Proportional to 16,248.82, 22,424.75 and 9,176.53

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Solution

The fourth proportional to 16,248.82, 22,424.75 and 9,176.53 is: 12,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,248.82 : 22,424.75 = 9,176.53 : x
  2. Step 2: Convert to fraction form
    16,248.82/22,424.75 = 9,176.53/x
  3. Step 3: Cross multiply
    16,248.82x = 22,424.75 × 9,176.53
  4. Step 4: Simplify right side
    16,248.82x = 205,781,391.12
  5. Step 5: Solve for x
    x = 205,781,391.12/16,248.82
  6. Step 6: Final answer
    x = 12,664.39

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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.