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Finding the Fourth Proportional to 16,881.50, 25,304.96 and 7,026.50

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Solution

The fourth proportional to 16,881.50, 25,304.96 and 7,026.50 is: 10,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.50 : 25,304.96 = 7,026.50 : x
  2. Step 2: Convert to fraction form
    16,881.50/25,304.96 = 7,026.50/x
  3. Step 3: Cross multiply
    16,881.50x = 25,304.96 × 7,026.50
  4. Step 4: Simplify right side
    16,881.50x = 177,805,301.44
  5. Step 5: Solve for x
    x = 177,805,301.44/16,881.50
  6. Step 6: Final answer
    x = 10,532.55

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Why These Related Problems?

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