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Finding the Fourth Proportional to 12,927.76, 19,391.76 and 8,314

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Solution

The fourth proportional to 12,927.76, 19,391.76 and 8,314 is: 12,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.76 : 19,391.76 = 8,314 : x
  2. Step 2: Convert to fraction form
    12,927.76/19,391.76 = 8,314/x
  3. Step 3: Cross multiply
    12,927.76x = 19,391.76 × 8,314
  4. Step 4: Simplify right side
    12,927.76x = 161,223,092.64
  5. Step 5: Solve for x
    x = 161,223,092.64/12,927.76
  6. Step 6: Final answer
    x = 12,471.08

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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.