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Finding the Fourth Proportional to 14,442.32, 19,919.07 and 9,408.12

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Solution

The fourth proportional to 14,442.32, 19,919.07 and 9,408.12 is: 12,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.32 : 19,919.07 = 9,408.12 : x
  2. Step 2: Convert to fraction form
    14,442.32/19,919.07 = 9,408.12/x
  3. Step 3: Cross multiply
    14,442.32x = 19,919.07 × 9,408.12
  4. Step 4: Simplify right side
    14,442.32x = 187,401,000.85
  5. Step 5: Solve for x
    x = 187,401,000.85/14,442.32
  6. Step 6: Final answer
    x = 12,975.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.