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Finding the Fourth Proportional to 18,494.70, 27,746.10 and 7,398.60

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Solution

The fourth proportional to 18,494.70, 27,746.10 and 7,398.60 is: 11,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.70 : 27,746.10 = 7,398.60 : x
  2. Step 2: Convert to fraction form
    18,494.70/27,746.10 = 7,398.60/x
  3. Step 3: Cross multiply
    18,494.70x = 27,746.10 × 7,398.60
  4. Step 4: Simplify right side
    18,494.70x = 205,282,295.46
  5. Step 5: Solve for x
    x = 205,282,295.46/18,494.70
  6. Step 6: Final answer
    x = 11,099.52

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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.