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Finding the Fourth Proportional to 16,680.80, 24,978.87 and 10,013.15

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Solution

The fourth proportional to 16,680.80, 24,978.87 and 10,013.15 is: 14,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680.80 : 24,978.87 = 10,013.15 : x
  2. Step 2: Convert to fraction form
    16,680.80/24,978.87 = 10,013.15/x
  3. Step 3: Cross multiply
    16,680.80x = 24,978.87 × 10,013.15
  4. Step 4: Simplify right side
    16,680.80x = 250,117,047.25
  5. Step 5: Solve for x
    x = 250,117,047.25/16,680.80
  6. Step 6: Final answer
    x = 14,994.31

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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.