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Finding the Fourth Proportional to 18,350.64, 27,524.07 and 6,502.50

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Solution

The fourth proportional to 18,350.64, 27,524.07 and 6,502.50 is: 9,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,350.64 : 27,524.07 = 6,502.50 : x
  2. Step 2: Convert to fraction form
    18,350.64/27,524.07 = 6,502.50/x
  3. Step 3: Cross multiply
    18,350.64x = 27,524.07 × 6,502.50
  4. Step 4: Simplify right side
    18,350.64x = 178,975,265.18
  5. Step 5: Solve for x
    x = 178,975,265.18/18,350.64
  6. Step 6: Final answer
    x = 9,753.08

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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.