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Finding the Fourth Proportional to 13,507.80, 20,229.30 and 10,915.80

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Solution

The fourth proportional to 13,507.80, 20,229.30 and 10,915.80 is: 16,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.80 : 20,229.30 = 10,915.80 : x
  2. Step 2: Convert to fraction form
    13,507.80/20,229.30 = 10,915.80/x
  3. Step 3: Cross multiply
    13,507.80x = 20,229.30 × 10,915.80
  4. Step 4: Simplify right side
    13,507.80x = 220,818,992.94
  5. Step 5: Solve for x
    x = 220,818,992.94/13,507.80
  6. Step 6: Final answer
    x = 16,347.52

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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.