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Finding the Fourth Proportional to 18,097.21, 27,158.64 and 8,237.76

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Solution

The fourth proportional to 18,097.21, 27,158.64 and 8,237.76 is: 12,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.21 : 27,158.64 = 8,237.76 : x
  2. Step 2: Convert to fraction form
    18,097.21/27,158.64 = 8,237.76/x
  3. Step 3: Cross multiply
    18,097.21x = 27,158.64 × 8,237.76
  4. Step 4: Simplify right side
    18,097.21x = 223,726,358.25
  5. Step 5: Solve for x
    x = 223,726,358.25/18,097.21
  6. Step 6: Final answer
    x = 12,362.48

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1.5x scale

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.