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Finding the Fourth Proportional to 21,752.50, 32,627.02 and 6,957.44

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Solution

The fourth proportional to 21,752.50, 32,627.02 and 6,957.44 is: 10,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.50 : 32,627.02 = 6,957.44 : x
  2. Step 2: Convert to fraction form
    21,752.50/32,627.02 = 6,957.44/x
  3. Step 3: Cross multiply
    21,752.50x = 32,627.02 × 6,957.44
  4. Step 4: Simplify right side
    21,752.50x = 227,000,534.03
  5. Step 5: Solve for x
    x = 227,000,534.03/21,752.50
  6. Step 6: Final answer
    x = 10,435.61

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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.