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Finding the Fourth Proportional to 26,818.50, 40,224.28 and 7,098.58

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Solution

The fourth proportional to 26,818.50, 40,224.28 and 7,098.58 is: 10,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,818.50 : 40,224.28 = 7,098.58 : x
  2. Step 2: Convert to fraction form
    26,818.50/40,224.28 = 7,098.58/x
  3. Step 3: Cross multiply
    26,818.50x = 40,224.28 × 7,098.58
  4. Step 4: Simplify right side
    26,818.50x = 285,535,269.52
  5. Step 5: Solve for x
    x = 285,535,269.52/26,818.50
  6. Step 6: Final answer
    x = 10,646.95

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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.