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Finding the Fourth Proportional to 16,526, 22,805.88 and 9,074.48

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Solution

The fourth proportional to 16,526, 22,805.88 and 9,074.48 is: 12,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526 : 22,805.88 = 9,074.48 : x
  2. Step 2: Convert to fraction form
    16,526/22,805.88 = 9,074.48/x
  3. Step 3: Cross multiply
    16,526x = 22,805.88 × 9,074.48
  4. Step 4: Simplify right side
    16,526x = 206,951,501.94
  5. Step 5: Solve for x
    x = 206,951,501.94/16,526
  6. Step 6: Final answer
    x = 12,522.78

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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.