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Finding the Fourth Proportional to 16,454.13, 22,706.69 and 9,002.13

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Solution

The fourth proportional to 16,454.13, 22,706.69 and 9,002.13 is: 12,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.13 : 22,706.69 = 9,002.13 : x
  2. Step 2: Convert to fraction form
    16,454.13/22,706.69 = 9,002.13/x
  3. Step 3: Cross multiply
    16,454.13x = 22,706.69 × 9,002.13
  4. Step 4: Simplify right side
    16,454.13x = 204,408,575.25
  5. Step 5: Solve for x
    x = 204,408,575.25/16,454.13
  6. Step 6: Final answer
    x = 12,422.93

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1.5x scale

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.