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Finding the Fourth Proportional to 16,654.84, 22,983.66 and 9,101.22

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Solution

The fourth proportional to 16,654.84, 22,983.66 and 9,101.22 is: 12,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654.84 : 22,983.66 = 9,101.22 : x
  2. Step 2: Convert to fraction form
    16,654.84/22,983.66 = 9,101.22/x
  3. Step 3: Cross multiply
    16,654.84x = 22,983.66 × 9,101.22
  4. Step 4: Simplify right side
    16,654.84x = 209,179,346.07
  5. Step 5: Solve for x
    x = 209,179,346.07/16,654.84
  6. Step 6: Final answer
    x = 12,559.67

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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.