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Finding the Fourth Proportional to 17,851.01, 24,632.03 and 9,892.22

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Solution

The fourth proportional to 17,851.01, 24,632.03 and 9,892.22 is: 13,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.01 : 24,632.03 = 9,892.22 : x
  2. Step 2: Convert to fraction form
    17,851.01/24,632.03 = 9,892.22/x
  3. Step 3: Cross multiply
    17,851.01x = 24,632.03 × 9,892.22
  4. Step 4: Simplify right side
    17,851.01x = 243,665,361.38
  5. Step 5: Solve for x
    x = 243,665,361.38/17,851.01
  6. Step 6: Final answer
    x = 13,649.95

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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.