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Finding the Fourth Proportional to 16,188.09, 24,275.75 and 7,865.65

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Solution

The fourth proportional to 16,188.09, 24,275.75 and 7,865.65 is: 11,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.09 : 24,275.75 = 7,865.65 : x
  2. Step 2: Convert to fraction form
    16,188.09/24,275.75 = 7,865.65/x
  3. Step 3: Cross multiply
    16,188.09x = 24,275.75 × 7,865.65
  4. Step 4: Simplify right side
    16,188.09x = 190,944,431.61
  5. Step 5: Solve for x
    x = 190,944,431.61/16,188.09
  6. Step 6: Final answer
    x = 11,795.37

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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.