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Finding the Fourth Proportional to 18,574.64, 27,870.17 and 7,502.96

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Solution

The fourth proportional to 18,574.64, 27,870.17 and 7,502.96 is: 11,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574.64 : 27,870.17 = 7,502.96 : x
  2. Step 2: Convert to fraction form
    18,574.64/27,870.17 = 7,502.96/x
  3. Step 3: Cross multiply
    18,574.64x = 27,870.17 × 7,502.96
  4. Step 4: Simplify right side
    18,574.64x = 209,108,770.70
  5. Step 5: Solve for x
    x = 209,108,770.70/18,574.64
  6. Step 6: Final answer
    x = 11,257.76

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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.