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Finding the Fourth Proportional to 21,659.47, 32,469.76 and 7,798.75

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Solution

The fourth proportional to 21,659.47, 32,469.76 and 7,798.75 is: 11,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.47 : 32,469.76 = 7,798.75 : x
  2. Step 2: Convert to fraction form
    21,659.47/32,469.76 = 7,798.75/x
  3. Step 3: Cross multiply
    21,659.47x = 32,469.76 × 7,798.75
  4. Step 4: Simplify right side
    21,659.47x = 253,223,540.80
  5. Step 5: Solve for x
    x = 253,223,540.80/21,659.47
  6. Step 6: Final answer
    x = 11,691.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.