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Finding the Fourth Proportional to 21,874.20, 32,811.30 and 10,188.60

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Solution

The fourth proportional to 21,874.20, 32,811.30 and 10,188.60 is: 15,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.20 : 32,811.30 = 10,188.60 : x
  2. Step 2: Convert to fraction form
    21,874.20/32,811.30 = 10,188.60/x
  3. Step 3: Cross multiply
    21,874.20x = 32,811.30 × 10,188.60
  4. Step 4: Simplify right side
    21,874.20x = 334,301,211.18
  5. Step 5: Solve for x
    x = 334,301,211.18/21,874.20
  6. Step 6: Final answer
    x = 15,282.90

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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.