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Finding the Fourth Proportional to 16,057.46, 24,060.27 and 9,888.50

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Solution

The fourth proportional to 16,057.46, 24,060.27 and 9,888.50 is: 14,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.46 : 24,060.27 = 9,888.50 : x
  2. Step 2: Convert to fraction form
    16,057.46/24,060.27 = 9,888.50/x
  3. Step 3: Cross multiply
    16,057.46x = 24,060.27 × 9,888.50
  4. Step 4: Simplify right side
    16,057.46x = 237,919,979.90
  5. Step 5: Solve for x
    x = 237,919,979.90/16,057.46
  6. Step 6: Final answer
    x = 14,816.79

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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.