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Finding the Fourth Proportional to 16,339.90, 22,549.38 and 9,266.20

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Solution

The fourth proportional to 16,339.90, 22,549.38 and 9,266.20 is: 12,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.90 : 22,549.38 = 9,266.20 : x
  2. Step 2: Convert to fraction form
    16,339.90/22,549.38 = 9,266.20/x
  3. Step 3: Cross multiply
    16,339.90x = 22,549.38 × 9,266.20
  4. Step 4: Simplify right side
    16,339.90x = 208,947,064.96
  5. Step 5: Solve for x
    x = 208,947,064.96/16,339.90
  6. Step 6: Final answer
    x = 12,787.54

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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.