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Finding the Fourth Proportional to 17,468.22, 24,102.04 and 9,912.84

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Solution

The fourth proportional to 17,468.22, 24,102.04 and 9,912.84 is: 13,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.22 : 24,102.04 = 9,912.84 : x
  2. Step 2: Convert to fraction form
    17,468.22/24,102.04 = 9,912.84/x
  3. Step 3: Cross multiply
    17,468.22x = 24,102.04 × 9,912.84
  4. Step 4: Simplify right side
    17,468.22x = 238,919,666.19
  5. Step 5: Solve for x
    x = 238,919,666.19/17,468.22
  6. Step 6: Final answer
    x = 13,677.39

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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.