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Finding the Fourth Proportional to 27,762.12, 38,311.78 and 15,186.92

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Solution

The fourth proportional to 27,762.12, 38,311.78 and 15,186.92 is: 20,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.12 : 38,311.78 = 15,186.92 : x
  2. Step 2: Convert to fraction form
    27,762.12/38,311.78 = 15,186.92/x
  3. Step 3: Cross multiply
    27,762.12x = 38,311.78 × 15,186.92
  4. Step 4: Simplify right side
    27,762.12x = 581,837,937.92
  5. Step 5: Solve for x
    x = 581,837,937.92/27,762.12
  6. Step 6: Final answer
    x = 20,957.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.