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Finding the Fourth Proportional to 16,909.12, 25,341.60 and 11,704

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Solution

The fourth proportional to 16,909.12, 25,341.60 and 11,704 is: 17,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.12 : 25,341.60 = 11,704 : x
  2. Step 2: Convert to fraction form
    16,909.12/25,341.60 = 11,704/x
  3. Step 3: Cross multiply
    16,909.12x = 25,341.60 × 11,704
  4. Step 4: Simplify right side
    16,909.12x = 296,598,086.40
  5. Step 5: Solve for x
    x = 296,598,086.40/16,909.12
  6. Step 6: Final answer
    x = 17,540.72

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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.