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Finding the Fourth Proportional to 31,406.13, 43,340.40 and 17,259.21

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Solution

The fourth proportional to 31,406.13, 43,340.40 and 17,259.21 is: 23,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.13 : 43,340.40 = 17,259.21 : x
  2. Step 2: Convert to fraction form
    31,406.13/43,340.40 = 17,259.21/x
  3. Step 3: Cross multiply
    31,406.13x = 43,340.40 × 17,259.21
  4. Step 4: Simplify right side
    31,406.13x = 748,021,065.08
  5. Step 5: Solve for x
    x = 748,021,065.08/31,406.13
  6. Step 6: Final answer
    x = 23,817.68

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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.