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Finding the Fourth Proportional to 14,047.59, 19,385.66 and 7,759.97

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Solution

The fourth proportional to 14,047.59, 19,385.66 and 7,759.97 is: 10,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.59 : 19,385.66 = 7,759.97 : x
  2. Step 2: Convert to fraction form
    14,047.59/19,385.66 = 7,759.97/x
  3. Step 3: Cross multiply
    14,047.59x = 19,385.66 × 7,759.97
  4. Step 4: Simplify right side
    14,047.59x = 150,432,004.30
  5. Step 5: Solve for x
    x = 150,432,004.30/14,047.59
  6. Step 6: Final answer
    x = 10,708.74

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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.