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Finding the Fourth Proportional to 21,915.66, 32,878.35 and 10,222.50

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Solution

The fourth proportional to 21,915.66, 32,878.35 and 10,222.50 is: 15,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915.66 : 32,878.35 = 10,222.50 : x
  2. Step 2: Convert to fraction form
    21,915.66/32,878.35 = 10,222.50/x
  3. Step 3: Cross multiply
    21,915.66x = 32,878.35 × 10,222.50
  4. Step 4: Simplify right side
    21,915.66x = 336,098,932.88
  5. Step 5: Solve for x
    x = 336,098,932.88/21,915.66
  6. Step 6: Final answer
    x = 15,336.02

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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.