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Finding the Fourth Proportional to 16,245.20, 24,368.67 and 5,152.76

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Solution

The fourth proportional to 16,245.20, 24,368.67 and 5,152.76 is: 7,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.20 : 24,368.67 = 5,152.76 : x
  2. Step 2: Convert to fraction form
    16,245.20/24,368.67 = 5,152.76/x
  3. Step 3: Cross multiply
    16,245.20x = 24,368.67 × 5,152.76
  4. Step 4: Simplify right side
    16,245.20x = 125,565,908.03
  5. Step 5: Solve for x
    x = 125,565,908.03/16,245.20
  6. Step 6: Final answer
    x = 7,729.42

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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.