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Finding the Fourth Proportional to 16,489.86, 24,741.71 and 7,125.05

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Solution

The fourth proportional to 16,489.86, 24,741.71 and 7,125.05 is: 10,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.86 : 24,741.71 = 7,125.05 : x
  2. Step 2: Convert to fraction form
    16,489.86/24,741.71 = 7,125.05/x
  3. Step 3: Cross multiply
    16,489.86x = 24,741.71 × 7,125.05
  4. Step 4: Simplify right side
    16,489.86x = 176,285,761.50
  5. Step 5: Solve for x
    x = 176,285,761.50/16,489.86
  6. Step 6: Final answer
    x = 10,690.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.