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Finding the Fourth Proportional to 27,311.81, 40,967.84 and 9,542.39

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Solution

The fourth proportional to 27,311.81, 40,967.84 and 9,542.39 is: 14,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.81 : 40,967.84 = 9,542.39 : x
  2. Step 2: Convert to fraction form
    27,311.81/40,967.84 = 9,542.39/x
  3. Step 3: Cross multiply
    27,311.81x = 40,967.84 × 9,542.39
  4. Step 4: Simplify right side
    27,311.81x = 390,931,106.74
  5. Step 5: Solve for x
    x = 390,931,106.74/27,311.81
  6. Step 6: Final answer
    x = 14,313.63

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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.