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Finding the Fourth Proportional to 13,830.15, 20,752.53 and 8,294.61

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Solution

The fourth proportional to 13,830.15, 20,752.53 and 8,294.61 is: 12,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.15 : 20,752.53 = 8,294.61 : x
  2. Step 2: Convert to fraction form
    13,830.15/20,752.53 = 8,294.61/x
  3. Step 3: Cross multiply
    13,830.15x = 20,752.53 × 8,294.61
  4. Step 4: Simplify right side
    13,830.15x = 172,134,142.86
  5. Step 5: Solve for x
    x = 172,134,142.86/13,830.15
  6. Step 6: Final answer
    x = 12,446.30

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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.