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Finding the Fourth Proportional to 21,026.62, 31,535.97 and 7,876.18

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Solution

The fourth proportional to 21,026.62, 31,535.97 and 7,876.18 is: 11,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.62 : 31,535.97 = 7,876.18 : x
  2. Step 2: Convert to fraction form
    21,026.62/31,535.97 = 7,876.18/x
  3. Step 3: Cross multiply
    21,026.62x = 31,535.97 × 7,876.18
  4. Step 4: Simplify right side
    21,026.62x = 248,382,976.19
  5. Step 5: Solve for x
    x = 248,382,976.19/21,026.62
  6. Step 6: Final answer
    x = 11,812.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.