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Finding the Fourth Proportional to 16,085.16, 22,195.62 and 9,011.16

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Solution

The fourth proportional to 16,085.16, 22,195.62 and 9,011.16 is: 12,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.16 : 22,195.62 = 9,011.16 : x
  2. Step 2: Convert to fraction form
    16,085.16/22,195.62 = 9,011.16/x
  3. Step 3: Cross multiply
    16,085.16x = 22,195.62 × 9,011.16
  4. Step 4: Simplify right side
    16,085.16x = 200,008,283.12
  5. Step 5: Solve for x
    x = 200,008,283.12/16,085.16
  6. Step 6: Final answer
    x = 12,434.34

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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.