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Finding the Fourth Proportional to 16,188.23, 24,275.96 and 7,865.78

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Solution

The fourth proportional to 16,188.23, 24,275.96 and 7,865.78 is: 11,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.23 : 24,275.96 = 7,865.78 : x
  2. Step 2: Convert to fraction form
    16,188.23/24,275.96 = 7,865.78/x
  3. Step 3: Cross multiply
    16,188.23x = 24,275.96 × 7,865.78
  4. Step 4: Simplify right side
    16,188.23x = 190,949,199.94
  5. Step 5: Solve for x
    x = 190,949,199.94/16,188.23
  6. Step 6: Final answer
    x = 11,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.