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Finding the Fourth Proportional to 23,084.94, 31,854.78 and 13,013.13

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Solution

The fourth proportional to 23,084.94, 31,854.78 and 13,013.13 is: 17,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.94 : 31,854.78 = 13,013.13 : x
  2. Step 2: Convert to fraction form
    23,084.94/31,854.78 = 13,013.13/x
  3. Step 3: Cross multiply
    23,084.94x = 31,854.78 × 13,013.13
  4. Step 4: Simplify right side
    23,084.94x = 414,530,393.26
  5. Step 5: Solve for x
    x = 414,530,393.26/23,084.94
  6. Step 6: Final answer
    x = 17,956.75

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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.