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Finding the Fourth Proportional to 14,659.84, 20,234.10 and 8,375.86

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Solution

The fourth proportional to 14,659.84, 20,234.10 and 8,375.86 is: 11,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.84 : 20,234.10 = 8,375.86 : x
  2. Step 2: Convert to fraction form
    14,659.84/20,234.10 = 8,375.86/x
  3. Step 3: Cross multiply
    14,659.84x = 20,234.10 × 8,375.86
  4. Step 4: Simplify right side
    14,659.84x = 169,477,988.83
  5. Step 5: Solve for x
    x = 169,477,988.83/14,659.84
  6. Step 6: Final answer
    x = 11,560.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.