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Finding the Fourth Proportional to 12,502.35, 18,758.39 and 12,314.63

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Solution

The fourth proportional to 12,502.35, 18,758.39 and 12,314.63 is: 18,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.35 : 18,758.39 = 12,314.63 : x
  2. Step 2: Convert to fraction form
    12,502.35/18,758.39 = 12,314.63/x
  3. Step 3: Cross multiply
    12,502.35x = 18,758.39 × 12,314.63
  4. Step 4: Simplify right side
    12,502.35x = 231,002,617.57
  5. Step 5: Solve for x
    x = 231,002,617.57/12,502.35
  6. Step 6: Final answer
    x = 18,476.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.