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Finding the Fourth Proportional to 16,082.51, 22,193.87 and 9,009.08

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Solution

The fourth proportional to 16,082.51, 22,193.87 and 9,009.08 is: 12,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.51 : 22,193.87 = 9,009.08 : x
  2. Step 2: Convert to fraction form
    16,082.51/22,193.87 = 9,009.08/x
  3. Step 3: Cross multiply
    16,082.51x = 22,193.87 × 9,009.08
  4. Step 4: Simplify right side
    16,082.51x = 199,946,339.97
  5. Step 5: Solve for x
    x = 199,946,339.97/16,082.51
  6. Step 6: Final answer
    x = 12,432.53

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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.