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Finding the Fourth Proportional to 22,963.50, 31,702.59 and 17,364.78

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Solution

The fourth proportional to 22,963.50, 31,702.59 and 17,364.78 is: 23,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 31,702.59 = 17,364.78 : x
  2. Step 2: Convert to fraction form
    22,963.50/31,702.59 = 17,364.78/x
  3. Step 3: Cross multiply
    22,963.50x = 31,702.59 × 17,364.78
  4. Step 4: Simplify right side
    22,963.50x = 550,508,500.78
  5. Step 5: Solve for x
    x = 550,508,500.78/22,963.50
  6. Step 6: Final answer
    x = 23,973.20

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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.