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Finding the Fourth Proportional to 12,502.34, 18,758.68 and 5,478.70

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Solution

The fourth proportional to 12,502.34, 18,758.68 and 5,478.70 is: 8,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.34 : 18,758.68 = 5,478.70 : x
  2. Step 2: Convert to fraction form
    12,502.34/18,758.68 = 5,478.70/x
  3. Step 3: Cross multiply
    12,502.34x = 18,758.68 × 5,478.70
  4. Step 4: Simplify right side
    12,502.34x = 102,773,180.12
  5. Step 5: Solve for x
    x = 102,773,180.12/12,502.34
  6. Step 6: Final answer
    x = 8,220.32

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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.