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Finding the Fourth Proportional to 21,672.11, 32,507.48 and 9,184.11

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Solution

The fourth proportional to 21,672.11, 32,507.48 and 9,184.11 is: 13,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.11 : 32,507.48 = 9,184.11 : x
  2. Step 2: Convert to fraction form
    21,672.11/32,507.48 = 9,184.11/x
  3. Step 3: Cross multiply
    21,672.11x = 32,507.48 × 9,184.11
  4. Step 4: Simplify right side
    21,672.11x = 298,552,212.97
  5. Step 5: Solve for x
    x = 298,552,212.97/21,672.11
  6. Step 6: Final answer
    x = 13,775.87

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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.