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Finding the Fourth Proportional to 16,209, 24,314.22 and 5,119.56

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Solution

The fourth proportional to 16,209, 24,314.22 and 5,119.56 is: 7,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209 : 24,314.22 = 5,119.56 : x
  2. Step 2: Convert to fraction form
    16,209/24,314.22 = 5,119.56/x
  3. Step 3: Cross multiply
    16,209x = 24,314.22 × 5,119.56
  4. Step 4: Simplify right side
    16,209x = 124,478,108.14
  5. Step 5: Solve for x
    x = 124,478,108.14/16,209
  6. Step 6: Final answer
    x = 7,679.57

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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.