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Finding the Fourth Proportional to 24,115.36, 36,114.36 and 16,699

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Solution

The fourth proportional to 24,115.36, 36,114.36 and 16,699 is: 25,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.36 : 36,114.36 = 16,699 : x
  2. Step 2: Convert to fraction form
    24,115.36/36,114.36 = 16,699/x
  3. Step 3: Cross multiply
    24,115.36x = 36,114.36 × 16,699
  4. Step 4: Simplify right side
    24,115.36x = 603,073,697.64
  5. Step 5: Solve for x
    x = 603,073,697.64/24,115.36
  6. Step 6: Final answer
    x = 25,007.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.