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Finding the Fourth Proportional to 16,334.67, 22,543.73 and 9,262.38

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Solution

The fourth proportional to 16,334.67, 22,543.73 and 9,262.38 is: 12,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.67 : 22,543.73 = 9,262.38 : x
  2. Step 2: Convert to fraction form
    16,334.67/22,543.73 = 9,262.38/x
  3. Step 3: Cross multiply
    16,334.67x = 22,543.73 × 9,262.38
  4. Step 4: Simplify right side
    16,334.67x = 208,808,593.88
  5. Step 5: Solve for x
    x = 208,808,593.88/16,334.67
  6. Step 6: Final answer
    x = 12,783.15

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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.