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Finding the Fourth Proportional to 16,154.16, 22,295.89 and 9,080.16

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Solution

The fourth proportional to 16,154.16, 22,295.89 and 9,080.16 is: 12,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.16 : 22,295.89 = 9,080.16 : x
  2. Step 2: Convert to fraction form
    16,154.16/22,295.89 = 9,080.16/x
  3. Step 3: Cross multiply
    16,154.16x = 22,295.89 × 9,080.16
  4. Step 4: Simplify right side
    16,154.16x = 202,450,248.54
  5. Step 5: Solve for x
    x = 202,450,248.54/16,154.16
  6. Step 6: Final answer
    x = 12,532.39

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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.