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Finding the Fourth Proportional to 16,311.15, 22,509.91 and 9,237.42

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Solution

The fourth proportional to 16,311.15, 22,509.91 and 9,237.42 is: 12,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.15 : 22,509.91 = 9,237.42 : x
  2. Step 2: Convert to fraction form
    16,311.15/22,509.91 = 9,237.42/x
  3. Step 3: Cross multiply
    16,311.15x = 22,509.91 × 9,237.42
  4. Step 4: Simplify right side
    16,311.15x = 207,933,492.83
  5. Step 5: Solve for x
    x = 207,933,492.83/16,311.15
  6. Step 6: Final answer
    x = 12,747.94

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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.