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Finding the Fourth Proportional to 16,188.54, 22,340.79 and 9,114.54

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Solution

The fourth proportional to 16,188.54, 22,340.79 and 9,114.54 is: 12,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.54 : 22,340.79 = 9,114.54 : x
  2. Step 2: Convert to fraction form
    16,188.54/22,340.79 = 9,114.54/x
  3. Step 3: Cross multiply
    16,188.54x = 22,340.79 × 9,114.54
  4. Step 4: Simplify right side
    16,188.54x = 203,626,024.09
  5. Step 5: Solve for x
    x = 203,626,024.09/16,188.54
  6. Step 6: Final answer
    x = 12,578.41

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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.