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Finding the Fourth Proportional to 12,269.78, 18,402.13 and 3,502.74

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Solution

The fourth proportional to 12,269.78, 18,402.13 and 3,502.74 is: 5,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.78 : 18,402.13 = 3,502.74 : x
  2. Step 2: Convert to fraction form
    12,269.78/18,402.13 = 3,502.74/x
  3. Step 3: Cross multiply
    12,269.78x = 18,402.13 × 3,502.74
  4. Step 4: Simplify right side
    12,269.78x = 64,457,859.32
  5. Step 5: Solve for x
    x = 64,457,859.32/12,269.78
  6. Step 6: Final answer
    x = 5,253.39

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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.