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Finding the Fourth Proportional to 16,562.88, 24,854.58 and 6,702.23

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Solution

The fourth proportional to 16,562.88, 24,854.58 and 6,702.23 is: 10,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.88 : 24,854.58 = 6,702.23 : x
  2. Step 2: Convert to fraction form
    16,562.88/24,854.58 = 6,702.23/x
  3. Step 3: Cross multiply
    16,562.88x = 24,854.58 × 6,702.23
  4. Step 4: Simplify right side
    16,562.88x = 166,581,173.85
  5. Step 5: Solve for x
    x = 166,581,173.85/16,562.88
  6. Step 6: Final answer
    x = 10,057.50

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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.