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Finding the Fourth Proportional to 23,086.71, 31,858.74 and 13,017.24

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Solution

The fourth proportional to 23,086.71, 31,858.74 and 13,017.24 is: 17,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.71 : 31,858.74 = 13,017.24 : x
  2. Step 2: Convert to fraction form
    23,086.71/31,858.74 = 13,017.24/x
  3. Step 3: Cross multiply
    23,086.71x = 31,858.74 × 13,017.24
  4. Step 4: Simplify right side
    23,086.71x = 414,712,864.68
  5. Step 5: Solve for x
    x = 414,712,864.68/23,086.71
  6. Step 6: Final answer
    x = 17,963.27

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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.