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Finding the Fourth Proportional to 16,188.92, 22,339.46 and 9,114.92

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Solution

The fourth proportional to 16,188.92, 22,339.46 and 9,114.92 is: 12,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.92 : 22,339.46 = 9,114.92 : x
  2. Step 2: Convert to fraction form
    16,188.92/22,339.46 = 9,114.92/x
  3. Step 3: Cross multiply
    16,188.92x = 22,339.46 × 9,114.92
  4. Step 4: Simplify right side
    16,188.92x = 203,622,390.74
  5. Step 5: Solve for x
    x = 203,622,390.74/16,188.92
  6. Step 6: Final answer
    x = 12,577.89

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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.