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Finding the Fourth Proportional to 14,234.92, 19,646.16 and 7,947.70

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Solution

The fourth proportional to 14,234.92, 19,646.16 and 7,947.70 is: 10,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.92 : 19,646.16 = 7,947.70 : x
  2. Step 2: Convert to fraction form
    14,234.92/19,646.16 = 7,947.70/x
  3. Step 3: Cross multiply
    14,234.92x = 19,646.16 × 7,947.70
  4. Step 4: Simplify right side
    14,234.92x = 156,141,785.83
  5. Step 5: Solve for x
    x = 156,141,785.83/14,234.92
  6. Step 6: Final answer
    x = 10,968.93

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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.