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Finding the Fourth Proportional to 21,915.50, 32,856.84 and 7,115.58

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Solution

The fourth proportional to 21,915.50, 32,856.84 and 7,115.58 is: 10,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915.50 : 32,856.84 = 7,115.58 : x
  2. Step 2: Convert to fraction form
    21,915.50/32,856.84 = 7,115.58/x
  3. Step 3: Cross multiply
    21,915.50x = 32,856.84 × 7,115.58
  4. Step 4: Simplify right side
    21,915.50x = 233,795,473.57
  5. Step 5: Solve for x
    x = 233,795,473.57/21,915.50
  6. Step 6: Final answer
    x = 10,668.04

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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.