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Finding the Fourth Proportional to 16,443.70, 24,659.88 and 6,580.42

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Solution

The fourth proportional to 16,443.70, 24,659.88 and 6,580.42 is: 9,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.70 : 24,659.88 = 6,580.42 : x
  2. Step 2: Convert to fraction form
    16,443.70/24,659.88 = 6,580.42/x
  3. Step 3: Cross multiply
    16,443.70x = 24,659.88 × 6,580.42
  4. Step 4: Simplify right side
    16,443.70x = 162,272,367.55
  5. Step 5: Solve for x
    x = 162,272,367.55/16,443.70
  6. Step 6: Final answer
    x = 9,868.36

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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.