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Finding the Fourth Proportional to 23,097.78, 31,875.02 and 12,889.24

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Solution

The fourth proportional to 23,097.78, 31,875.02 and 12,889.24 is: 17,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.78 : 31,875.02 = 12,889.24 : x
  2. Step 2: Convert to fraction form
    23,097.78/31,875.02 = 12,889.24/x
  3. Step 3: Cross multiply
    23,097.78x = 31,875.02 × 12,889.24
  4. Step 4: Simplify right side
    23,097.78x = 410,844,782.78
  5. Step 5: Solve for x
    x = 410,844,782.78/23,097.78
  6. Step 6: Final answer
    x = 17,787.20

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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.