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Finding the Fourth Proportional to 21,582.63, 32,375.70 and 6,000.24

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Solution

The fourth proportional to 21,582.63, 32,375.70 and 6,000.24 is: 9,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582.63 : 32,375.70 = 6,000.24 : x
  2. Step 2: Convert to fraction form
    21,582.63/32,375.70 = 6,000.24/x
  3. Step 3: Cross multiply
    21,582.63x = 32,375.70 × 6,000.24
  4. Step 4: Simplify right side
    21,582.63x = 194,261,970.17
  5. Step 5: Solve for x
    x = 194,261,970.17/21,582.63
  6. Step 6: Final answer
    x = 9,000.85

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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.