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Finding the Fourth Proportional to 13,532.90, 18,681.16 and 8,229.42

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Solution

The fourth proportional to 13,532.90, 18,681.16 and 8,229.42 is: 11,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.90 : 18,681.16 = 8,229.42 : x
  2. Step 2: Convert to fraction form
    13,532.90/18,681.16 = 8,229.42/x
  3. Step 3: Cross multiply
    13,532.90x = 18,681.16 × 8,229.42
  4. Step 4: Simplify right side
    13,532.90x = 153,735,111.73
  5. Step 5: Solve for x
    x = 153,735,111.73/13,532.90
  6. Step 6: Final answer
    x = 11,360.10

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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.