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Finding the Fourth Proportional to 22,972.50, 31,702.08 and 13,036.50

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Solution

The fourth proportional to 22,972.50, 31,702.08 and 13,036.50 is: 17,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.50 : 31,702.08 = 13,036.50 : x
  2. Step 2: Convert to fraction form
    22,972.50/31,702.08 = 13,036.50/x
  3. Step 3: Cross multiply
    22,972.50x = 31,702.08 × 13,036.50
  4. Step 4: Simplify right side
    22,972.50x = 413,284,165.92
  5. Step 5: Solve for x
    x = 413,284,165.92/22,972.50
  6. Step 6: Final answer
    x = 17,990.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.