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Finding the Fourth Proportional to 16,655.16, 22,984.79 and 9,581.58

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Solution

The fourth proportional to 16,655.16, 22,984.79 and 9,581.58 is: 13,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.16 : 22,984.79 = 9,581.58 : x
  2. Step 2: Convert to fraction form
    16,655.16/22,984.79 = 9,581.58/x
  3. Step 3: Cross multiply
    16,655.16x = 22,984.79 × 9,581.58
  4. Step 4: Simplify right side
    16,655.16x = 220,230,604.17
  5. Step 5: Solve for x
    x = 220,230,604.17/16,655.16
  6. Step 6: Final answer
    x = 13,222.97

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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.