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Finding the Fourth Proportional to 23,221.75, 32,047.23 and 13,662.13

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Solution

The fourth proportional to 23,221.75, 32,047.23 and 13,662.13 is: 18,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.75 : 32,047.23 = 13,662.13 : x
  2. Step 2: Convert to fraction form
    23,221.75/32,047.23 = 13,662.13/x
  3. Step 3: Cross multiply
    23,221.75x = 32,047.23 × 13,662.13
  4. Step 4: Simplify right side
    23,221.75x = 437,833,422.40
  5. Step 5: Solve for x
    x = 437,833,422.40/23,221.75
  6. Step 6: Final answer
    x = 18,854.45

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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.