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Finding the Fourth Proportional to 16,155.78, 22,298.13 and 9,081.78

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Solution

The fourth proportional to 16,155.78, 22,298.13 and 9,081.78 is: 12,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.78 : 22,298.13 = 9,081.78 : x
  2. Step 2: Convert to fraction form
    16,155.78/22,298.13 = 9,081.78/x
  3. Step 3: Cross multiply
    16,155.78x = 22,298.13 × 9,081.78
  4. Step 4: Simplify right side
    16,155.78x = 202,506,711.07
  5. Step 5: Solve for x
    x = 202,506,711.07/16,155.78
  6. Step 6: Final answer
    x = 12,534.63

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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.