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Finding the Fourth Proportional to 13,250.98, 18,281.10 and 8,538

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Solution

The fourth proportional to 13,250.98, 18,281.10 and 8,538 is: 11,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.98 : 18,281.10 = 8,538 : x
  2. Step 2: Convert to fraction form
    13,250.98/18,281.10 = 8,538/x
  3. Step 3: Cross multiply
    13,250.98x = 18,281.10 × 8,538
  4. Step 4: Simplify right side
    13,250.98x = 156,084,031.80
  5. Step 5: Solve for x
    x = 156,084,031.80/13,250.98
  6. Step 6: Final answer
    x = 11,779.06

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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.