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Finding the Fourth Proportional to 21,698.30, 32,553.68 and 6,909.50

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Solution

The fourth proportional to 21,698.30, 32,553.68 and 6,909.50 is: 10,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.30 : 32,553.68 = 6,909.50 : x
  2. Step 2: Convert to fraction form
    21,698.30/32,553.68 = 6,909.50/x
  3. Step 3: Cross multiply
    21,698.30x = 32,553.68 × 6,909.50
  4. Step 4: Simplify right side
    21,698.30x = 224,929,506.47
  5. Step 5: Solve for x
    x = 224,929,506.47/21,698.30
  6. Step 6: Final answer
    x = 10,366.23

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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.