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Finding the Fourth Proportional to 13,531.92, 18,673.98 and 8,225.70

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Solution

The fourth proportional to 13,531.92, 18,673.98 and 8,225.70 is: 11,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.92 : 18,673.98 = 8,225.70 : x
  2. Step 2: Convert to fraction form
    13,531.92/18,673.98 = 8,225.70/x
  3. Step 3: Cross multiply
    13,531.92x = 18,673.98 × 8,225.70
  4. Step 4: Simplify right side
    13,531.92x = 153,606,557.29
  5. Step 5: Solve for x
    x = 153,606,557.29/13,531.92
  6. Step 6: Final answer
    x = 11,351.42

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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.