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Finding the Fourth Proportional to 21,702.92, 32,543.61 and 6,909.91

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Solution

The fourth proportional to 21,702.92, 32,543.61 and 6,909.91 is: 10,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.92 : 32,543.61 = 6,909.91 : x
  2. Step 2: Convert to fraction form
    21,702.92/32,543.61 = 6,909.91/x
  3. Step 3: Cross multiply
    21,702.92x = 32,543.61 × 6,909.91
  4. Step 4: Simplify right side
    21,702.92x = 224,873,416.18
  5. Step 5: Solve for x
    x = 224,873,416.18/21,702.92
  6. Step 6: Final answer
    x = 10,361.44

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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.