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Finding the Fourth Proportional to 22,963.16, 31,686.98 and 12,889.29

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Solution

The fourth proportional to 22,963.16, 31,686.98 and 12,889.29 is: 17,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.16 : 31,686.98 = 12,889.29 : x
  2. Step 2: Convert to fraction form
    22,963.16/31,686.98 = 12,889.29/x
  3. Step 3: Cross multiply
    22,963.16x = 31,686.98 × 12,889.29
  4. Step 4: Simplify right side
    22,963.16x = 408,422,689.22
  5. Step 5: Solve for x
    x = 408,422,689.22/22,963.16
  6. Step 6: Final answer
    x = 17,785.99

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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.