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Finding the Fourth Proportional to 27,309.65, 40,974.35 and 9,542.93

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Solution

The fourth proportional to 27,309.65, 40,974.35 and 9,542.93 is: 14,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.65 : 40,974.35 = 9,542.93 : x
  2. Step 2: Convert to fraction form
    27,309.65/40,974.35 = 9,542.93/x
  3. Step 3: Cross multiply
    27,309.65x = 40,974.35 × 9,542.93
  4. Step 4: Simplify right side
    27,309.65x = 391,015,101.26
  5. Step 5: Solve for x
    x = 391,015,101.26/27,309.65
  6. Step 6: Final answer
    x = 14,317.84

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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.