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Finding the Fourth Proportional to 22,102.99, 33,154.16 and 5,463.02

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Solution

The fourth proportional to 22,102.99, 33,154.16 and 5,463.02 is: 8,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.99 : 33,154.16 = 5,463.02 : x
  2. Step 2: Convert to fraction form
    22,102.99/33,154.16 = 5,463.02/x
  3. Step 3: Cross multiply
    22,102.99x = 33,154.16 × 5,463.02
  4. Step 4: Simplify right side
    22,102.99x = 181,121,839.16
  5. Step 5: Solve for x
    x = 181,121,839.16/22,102.99
  6. Step 6: Final answer
    x = 8,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.