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Finding the Fourth Proportional to 23,270.32, 32,098.64 and 20,293.30

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Solution

The fourth proportional to 23,270.32, 32,098.64 and 20,293.30 is: 27,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,270.32 : 32,098.64 = 20,293.30 : x
  2. Step 2: Convert to fraction form
    23,270.32/32,098.64 = 20,293.30/x
  3. Step 3: Cross multiply
    23,270.32x = 32,098.64 × 20,293.30
  4. Step 4: Simplify right side
    23,270.32x = 651,387,331.11
  5. Step 5: Solve for x
    x = 651,387,331.11/23,270.32
  6. Step 6: Final answer
    x = 27,992.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.