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Finding the Fourth Proportional to 17,468.49, 24,102.41 and 9,913.11

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Solution

The fourth proportional to 17,468.49, 24,102.41 and 9,913.11 is: 13,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.49 : 24,102.41 = 9,913.11 : x
  2. Step 2: Convert to fraction form
    17,468.49/24,102.41 = 9,913.11/x
  3. Step 3: Cross multiply
    17,468.49x = 24,102.41 × 9,913.11
  4. Step 4: Simplify right side
    17,468.49x = 238,929,841.60
  5. Step 5: Solve for x
    x = 238,929,841.60/17,468.49
  6. Step 6: Final answer
    x = 13,677.76

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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.