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Finding the Fourth Proportional to 21,830.15, 32,751.25 and 8,691.75

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Solution

The fourth proportional to 21,830.15, 32,751.25 and 8,691.75 is: 13,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.15 : 32,751.25 = 8,691.75 : x
  2. Step 2: Convert to fraction form
    21,830.15/32,751.25 = 8,691.75/x
  3. Step 3: Cross multiply
    21,830.15x = 32,751.25 × 8,691.75
  4. Step 4: Simplify right side
    21,830.15x = 284,665,655.46
  5. Step 5: Solve for x
    x = 284,665,655.46/21,830.15
  6. Step 6: Final answer
    x = 13,040.02

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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.