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Finding the Fourth Proportional to 23,169.81, 31,974 and 13,097.90

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Solution

The fourth proportional to 23,169.81, 31,974 and 13,097.90 is: 18,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.81 : 31,974 = 13,097.90 : x
  2. Step 2: Convert to fraction form
    23,169.81/31,974 = 13,097.90/x
  3. Step 3: Cross multiply
    23,169.81x = 31,974 × 13,097.90
  4. Step 4: Simplify right side
    23,169.81x = 418,792,254.60
  5. Step 5: Solve for x
    x = 418,792,254.60/23,169.81
  6. Step 6: Final answer
    x = 18,074.91

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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.