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Finding the Fourth Proportional to 22,591.25, 31,173.70 and 13,032.01

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Solution

The fourth proportional to 22,591.25, 31,173.70 and 13,032.01 is: 17,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.25 : 31,173.70 = 13,032.01 : x
  2. Step 2: Convert to fraction form
    22,591.25/31,173.70 = 13,032.01/x
  3. Step 3: Cross multiply
    22,591.25x = 31,173.70 × 13,032.01
  4. Step 4: Simplify right side
    22,591.25x = 406,255,749.11
  5. Step 5: Solve for x
    x = 406,255,749.11/22,591.25
  6. Step 6: Final answer
    x = 17,982.88

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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.