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Finding the Fourth Proportional to 21,462.72, 32,159 and 20,642.60

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Solution

The fourth proportional to 21,462.72, 32,159 and 20,642.60 is: 30,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.72 : 32,159 = 20,642.60 : x
  2. Step 2: Convert to fraction form
    21,462.72/32,159 = 20,642.60/x
  3. Step 3: Cross multiply
    21,462.72x = 32,159 × 20,642.60
  4. Step 4: Simplify right side
    21,462.72x = 663,845,373.40
  5. Step 5: Solve for x
    x = 663,845,373.40/21,462.72
  6. Step 6: Final answer
    x = 30,930.16

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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.