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Finding the Fourth Proportional to 16,138.29, 24,208.12 and 5,045.19

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Solution

The fourth proportional to 16,138.29, 24,208.12 and 5,045.19 is: 7,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.29 : 24,208.12 = 5,045.19 : x
  2. Step 2: Convert to fraction form
    16,138.29/24,208.12 = 5,045.19/x
  3. Step 3: Cross multiply
    16,138.29x = 24,208.12 × 5,045.19
  4. Step 4: Simplify right side
    16,138.29x = 122,134,443.90
  5. Step 5: Solve for x
    x = 122,134,443.90/16,138.29
  6. Step 6: Final answer
    x = 7,567.99

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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.