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Finding the Fourth Proportional to 23,084.60, 31,854.84 and 13,015.52

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Solution

The fourth proportional to 23,084.60, 31,854.84 and 13,015.52 is: 17,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.60 : 31,854.84 = 13,015.52 : x
  2. Step 2: Convert to fraction form
    23,084.60/31,854.84 = 13,015.52/x
  3. Step 3: Cross multiply
    23,084.60x = 31,854.84 × 13,015.52
  4. Step 4: Simplify right side
    23,084.60x = 414,607,147.84
  5. Step 5: Solve for x
    x = 414,607,147.84/23,084.60
  6. Step 6: Final answer
    x = 17,960.33

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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.