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Finding the Fourth Proportional to 17,695.60, 24,419.88 and 10,622

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Solution

The fourth proportional to 17,695.60, 24,419.88 and 10,622 is: 14,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.60 : 24,419.88 = 10,622 : x
  2. Step 2: Convert to fraction form
    17,695.60/24,419.88 = 10,622/x
  3. Step 3: Cross multiply
    17,695.60x = 24,419.88 × 10,622
  4. Step 4: Simplify right side
    17,695.60x = 259,387,965.36
  5. Step 5: Solve for x
    x = 259,387,965.36/17,695.60
  6. Step 6: Final answer
    x = 14,658.33

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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.