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Finding the Fourth Proportional to 27,024.74, 40,535.11 and 9,494.74

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Solution

The fourth proportional to 27,024.74, 40,535.11 and 9,494.74 is: 14,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024.74 : 40,535.11 = 9,494.74 : x
  2. Step 2: Convert to fraction form
    27,024.74/40,535.11 = 9,494.74/x
  3. Step 3: Cross multiply
    27,024.74x = 40,535.11 × 9,494.74
  4. Step 4: Simplify right side
    27,024.74x = 384,870,330.32
  5. Step 5: Solve for x
    x = 384,870,330.32/27,024.74
  6. Step 6: Final answer
    x = 14,241.41

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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.