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Finding the Fourth Proportional to 16,178.56, 24,140.96 and 15,187.84

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Solution

The fourth proportional to 16,178.56, 24,140.96 and 15,187.84 is: 22,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.56 : 24,140.96 = 15,187.84 : x
  2. Step 2: Convert to fraction form
    16,178.56/24,140.96 = 15,187.84/x
  3. Step 3: Cross multiply
    16,178.56x = 24,140.96 × 15,187.84
  4. Step 4: Simplify right side
    16,178.56x = 366,649,037.93
  5. Step 5: Solve for x
    x = 366,649,037.93/16,178.56
  6. Step 6: Final answer
    x = 22,662.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.