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Finding the Fourth Proportional to 31,441.72, 43,389.78 and 17,294.20

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Solution

The fourth proportional to 31,441.72, 43,389.78 and 17,294.20 is: 23,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441.72 : 43,389.78 = 17,294.20 : x
  2. Step 2: Convert to fraction form
    31,441.72/43,389.78 = 17,294.20/x
  3. Step 3: Cross multiply
    31,441.72x = 43,389.78 × 17,294.20
  4. Step 4: Simplify right side
    31,441.72x = 750,391,533.28
  5. Step 5: Solve for x
    x = 750,391,533.28/31,441.72
  6. Step 6: Final answer
    x = 23,866.11

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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.