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Finding the Fourth Proportional to 27,931.80, 41,911.35 and 13,142.19

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Solution

The fourth proportional to 27,931.80, 41,911.35 and 13,142.19 is: 19,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.80 : 41,911.35 = 13,142.19 : x
  2. Step 2: Convert to fraction form
    27,931.80/41,911.35 = 13,142.19/x
  3. Step 3: Cross multiply
    27,931.80x = 41,911.35 × 13,142.19
  4. Step 4: Simplify right side
    27,931.80x = 550,806,924.86
  5. Step 5: Solve for x
    x = 550,806,924.86/27,931.80
  6. Step 6: Final answer
    x = 19,719.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.