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Finding the Fourth Proportional to 16,563.74, 22,859.15 and 9,849.65

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Solution

The fourth proportional to 16,563.74, 22,859.15 and 9,849.65 is: 13,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.74 : 22,859.15 = 9,849.65 : x
  2. Step 2: Convert to fraction form
    16,563.74/22,859.15 = 9,849.65/x
  3. Step 3: Cross multiply
    16,563.74x = 22,859.15 × 9,849.65
  4. Step 4: Simplify right side
    16,563.74x = 225,154,463.25
  5. Step 5: Solve for x
    x = 225,154,463.25/16,563.74
  6. Step 6: Final answer
    x = 13,593.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.