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Finding the Fourth Proportional to 16,520.69, 24,783.63 and 5,424.86

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Solution

The fourth proportional to 16,520.69, 24,783.63 and 5,424.86 is: 8,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.69 : 24,783.63 = 5,424.86 : x
  2. Step 2: Convert to fraction form
    16,520.69/24,783.63 = 5,424.86/x
  3. Step 3: Cross multiply
    16,520.69x = 24,783.63 × 5,424.86
  4. Step 4: Simplify right side
    16,520.69x = 134,447,599.12
  5. Step 5: Solve for x
    x = 134,447,599.12/16,520.69
  6. Step 6: Final answer
    x = 8,138.14

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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.