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Finding the Fourth Proportional to 14,348.28, 19,798.38 and 7,974.78

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Solution

The fourth proportional to 14,348.28, 19,798.38 and 7,974.78 is: 11,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.28 : 19,798.38 = 7,974.78 : x
  2. Step 2: Convert to fraction form
    14,348.28/19,798.38 = 7,974.78/x
  3. Step 3: Cross multiply
    14,348.28x = 19,798.38 × 7,974.78
  4. Step 4: Simplify right side
    14,348.28x = 157,887,724.86
  5. Step 5: Solve for x
    x = 157,887,724.86/14,348.28
  6. Step 6: Final answer
    x = 11,003.95

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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.