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Finding the Fourth Proportional to 16,264.25, 22,448 and 9,553.40

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Solution

The fourth proportional to 16,264.25, 22,448 and 9,553.40 is: 13,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.25 : 22,448 = 9,553.40 : x
  2. Step 2: Convert to fraction form
    16,264.25/22,448 = 9,553.40/x
  3. Step 3: Cross multiply
    16,264.25x = 22,448 × 9,553.40
  4. Step 4: Simplify right side
    16,264.25x = 214,454,723.20
  5. Step 5: Solve for x
    x = 214,454,723.20/16,264.25
  6. Step 6: Final answer
    x = 13,185.65

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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.