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Finding the Fourth Proportional to 31,417.14, 43,355.07 and 17,269.68

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Solution

The fourth proportional to 31,417.14, 43,355.07 and 17,269.68 is: 23,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.14 : 43,355.07 = 17,269.68 : x
  2. Step 2: Convert to fraction form
    31,417.14/43,355.07 = 17,269.68/x
  3. Step 3: Cross multiply
    31,417.14x = 43,355.07 × 17,269.68
  4. Step 4: Simplify right side
    31,417.14x = 748,728,185.28
  5. Step 5: Solve for x
    x = 748,728,185.28/31,417.14
  6. Step 6: Final answer
    x = 23,831.84

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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.