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Finding the Fourth Proportional to 16,245.14, 24,365.66 and 5,152.95

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Solution

The fourth proportional to 16,245.14, 24,365.66 and 5,152.95 is: 7,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.14 : 24,365.66 = 5,152.95 : x
  2. Step 2: Convert to fraction form
    16,245.14/24,365.66 = 5,152.95/x
  3. Step 3: Cross multiply
    16,245.14x = 24,365.66 × 5,152.95
  4. Step 4: Simplify right side
    16,245.14x = 125,555,001.93
  5. Step 5: Solve for x
    x = 125,555,001.93/16,245.14
  6. Step 6: Final answer
    x = 7,728.78

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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.