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Finding the Fourth Proportional to 23,097.19, 31,874.04 and 12,486.84

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Solution

The fourth proportional to 23,097.19, 31,874.04 and 12,486.84 is: 17,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.19 : 31,874.04 = 12,486.84 : x
  2. Step 2: Convert to fraction form
    23,097.19/31,874.04 = 12,486.84/x
  3. Step 3: Cross multiply
    23,097.19x = 31,874.04 × 12,486.84
  4. Step 4: Simplify right side
    23,097.19x = 398,006,037.63
  5. Step 5: Solve for x
    x = 398,006,037.63/23,097.19
  6. Step 6: Final answer
    x = 17,231.79

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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.