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Finding the Fourth Proportional to 22,758.40, 31,406.76 and 12,687.48

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Solution

The fourth proportional to 22,758.40, 31,406.76 and 12,687.48 is: 17,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.40 : 31,406.76 = 12,687.48 : x
  2. Step 2: Convert to fraction form
    22,758.40/31,406.76 = 12,687.48/x
  3. Step 3: Cross multiply
    22,758.40x = 31,406.76 × 12,687.48
  4. Step 4: Simplify right side
    22,758.40x = 398,472,639.36
  5. Step 5: Solve for x
    x = 398,472,639.36/22,758.40
  6. Step 6: Final answer
    x = 17,508.82

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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.