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Finding the Fourth Proportional to 16,320.98, 22,522.86 and 9,247.38

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Solution

The fourth proportional to 16,320.98, 22,522.86 and 9,247.38 is: 12,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.98 : 22,522.86 = 9,247.38 : x
  2. Step 2: Convert to fraction form
    16,320.98/22,522.86 = 9,247.38/x
  3. Step 3: Cross multiply
    16,320.98x = 22,522.86 × 9,247.38
  4. Step 4: Simplify right side
    16,320.98x = 208,277,445.11
  5. Step 5: Solve for x
    x = 208,277,445.11/16,320.98
  6. Step 6: Final answer
    x = 12,761.33

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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.