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Finding the Fourth Proportional to 14,339.16, 19,795.24 and 8,964.58

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Solution

The fourth proportional to 14,339.16, 19,795.24 and 8,964.58 is: 12,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,339.16 : 19,795.24 = 8,964.58 : x
  2. Step 2: Convert to fraction form
    14,339.16/19,795.24 = 8,964.58/x
  3. Step 3: Cross multiply
    14,339.16x = 19,795.24 × 8,964.58
  4. Step 4: Simplify right side
    14,339.16x = 177,456,016.68
  5. Step 5: Solve for x
    x = 177,456,016.68/14,339.16
  6. Step 6: Final answer
    x = 12,375.62

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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.