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Finding the Fourth Proportional to 16,655.70, 22,984.86 and 9,581.64

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Solution

The fourth proportional to 16,655.70, 22,984.86 and 9,581.64 is: 13,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.70 : 22,984.86 = 9,581.64 : x
  2. Step 2: Convert to fraction form
    16,655.70/22,984.86 = 9,581.64/x
  3. Step 3: Cross multiply
    16,655.70x = 22,984.86 × 9,581.64
  4. Step 4: Simplify right side
    16,655.70x = 220,232,653.97
  5. Step 5: Solve for x
    x = 220,232,653.97/16,655.70
  6. Step 6: Final answer
    x = 13,222.66

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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.