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Finding the Fourth Proportional to 10,354.60, 15,526.23 and 8,156.80

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Solution

The fourth proportional to 10,354.60, 15,526.23 and 8,156.80 is: 12,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.60 : 15,526.23 = 8,156.80 : x
  2. Step 2: Convert to fraction form
    10,354.60/15,526.23 = 8,156.80/x
  3. Step 3: Cross multiply
    10,354.60x = 15,526.23 × 8,156.80
  4. Step 4: Simplify right side
    10,354.60x = 126,644,352.86
  5. Step 5: Solve for x
    x = 126,644,352.86/10,354.60
  6. Step 6: Final answer
    x = 12,230.73

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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.