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Finding the Fourth Proportional to 23,097.64, 31,874.68 and 12,487.28

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Solution

The fourth proportional to 23,097.64, 31,874.68 and 12,487.28 is: 17,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.64 : 31,874.68 = 12,487.28 : x
  2. Step 2: Convert to fraction form
    23,097.64/31,874.68 = 12,487.28/x
  3. Step 3: Cross multiply
    23,097.64x = 31,874.68 × 12,487.28
  4. Step 4: Simplify right side
    23,097.64x = 398,028,054.07
  5. Step 5: Solve for x
    x = 398,028,054.07/23,097.64
  6. Step 6: Final answer
    x = 17,232.41

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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.