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Finding the Fourth Proportional to 16,616.88, 24,931.92 and 6,756.90

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Solution

The fourth proportional to 16,616.88, 24,931.92 and 6,756.90 is: 10,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.88 : 24,931.92 = 6,756.90 : x
  2. Step 2: Convert to fraction form
    16,616.88/24,931.92 = 6,756.90/x
  3. Step 3: Cross multiply
    16,616.88x = 24,931.92 × 6,756.90
  4. Step 4: Simplify right side
    16,616.88x = 168,462,490.25
  5. Step 5: Solve for x
    x = 168,462,490.25/16,616.88
  6. Step 6: Final answer
    x = 10,138.03

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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.