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Finding the Fourth Proportional to 15,777.20, 23,645.70 and 8,385.20

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Solution

The fourth proportional to 15,777.20, 23,645.70 and 8,385.20 is: 12,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.20 : 23,645.70 = 8,385.20 : x
  2. Step 2: Convert to fraction form
    15,777.20/23,645.70 = 8,385.20/x
  3. Step 3: Cross multiply
    15,777.20x = 23,645.70 × 8,385.20
  4. Step 4: Simplify right side
    15,777.20x = 198,273,923.64
  5. Step 5: Solve for x
    x = 198,273,923.64/15,777.20
  6. Step 6: Final answer
    x = 12,567.12

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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.