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Finding the Fourth Proportional to 21,709.68, 32,566.88 and 6,915.12

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Solution

The fourth proportional to 21,709.68, 32,566.88 and 6,915.12 is: 10,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.68 : 32,566.88 = 6,915.12 : x
  2. Step 2: Convert to fraction form
    21,709.68/32,566.88 = 6,915.12/x
  3. Step 3: Cross multiply
    21,709.68x = 32,566.88 × 6,915.12
  4. Step 4: Simplify right side
    21,709.68x = 225,203,883.23
  5. Step 5: Solve for x
    x = 225,203,883.23/21,709.68
  6. Step 6: Final answer
    x = 10,373.43

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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.