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Finding the Fourth Proportional to 21,538.01, 32,277.65 and 10,422.52

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Solution

The fourth proportional to 21,538.01, 32,277.65 and 10,422.52 is: 15,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.01 : 32,277.65 = 10,422.52 : x
  2. Step 2: Convert to fraction form
    21,538.01/32,277.65 = 10,422.52/x
  3. Step 3: Cross multiply
    21,538.01x = 32,277.65 × 10,422.52
  4. Step 4: Simplify right side
    21,538.01x = 336,414,452.68
  5. Step 5: Solve for x
    x = 336,414,452.68/21,538.01
  6. Step 6: Final answer
    x = 15,619.57

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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.