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Finding the Fourth Proportional to 16,917.65, 25,382.28 and 7,564.11

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Solution

The fourth proportional to 16,917.65, 25,382.28 and 7,564.11 is: 11,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,917.65 : 25,382.28 = 7,564.11 : x
  2. Step 2: Convert to fraction form
    16,917.65/25,382.28 = 7,564.11/x
  3. Step 3: Cross multiply
    16,917.65x = 25,382.28 × 7,564.11
  4. Step 4: Simplify right side
    16,917.65x = 191,994,357.97
  5. Step 5: Solve for x
    x = 191,994,357.97/16,917.65
  6. Step 6: Final answer
    x = 11,348.76

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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.