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Finding the Fourth Proportional to 26,670.78, 36,805.14 and 14,734

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Solution

The fourth proportional to 26,670.78, 36,805.14 and 14,734 is: 20,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,670.78 : 36,805.14 = 14,734 : x
  2. Step 2: Convert to fraction form
    26,670.78/36,805.14 = 14,734/x
  3. Step 3: Cross multiply
    26,670.78x = 36,805.14 × 14,734
  4. Step 4: Simplify right side
    26,670.78x = 542,286,932.76
  5. Step 5: Solve for x
    x = 542,286,932.76/26,670.78
  6. Step 6: Final answer
    x = 20,332.62

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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.