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Finding the Fourth Proportional to 22,758.30, 31,405.98 and 12,686.70

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Solution

The fourth proportional to 22,758.30, 31,405.98 and 12,686.70 is: 17,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.30 : 31,405.98 = 12,686.70 : x
  2. Step 2: Convert to fraction form
    22,758.30/31,405.98 = 12,686.70/x
  3. Step 3: Cross multiply
    22,758.30x = 31,405.98 × 12,686.70
  4. Step 4: Simplify right side
    22,758.30x = 398,438,246.47
  5. Step 5: Solve for x
    x = 398,438,246.47/22,758.30
  6. Step 6: Final answer
    x = 17,507.38

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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.