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Finding the Fourth Proportional to 22,758.74, 31,406.40 and 12,686.96

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Solution

The fourth proportional to 22,758.74, 31,406.40 and 12,686.96 is: 17,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.74 : 31,406.40 = 12,686.96 : x
  2. Step 2: Convert to fraction form
    22,758.74/31,406.40 = 12,686.96/x
  3. Step 3: Cross multiply
    22,758.74x = 31,406.40 × 12,686.96
  4. Step 4: Simplify right side
    22,758.74x = 398,451,819.06
  5. Step 5: Solve for x
    x = 398,451,819.06/22,758.74
  6. Step 6: Final answer
    x = 17,507.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.