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Finding the Fourth Proportional to 17,465.99, 24,103.17 and 9,508.21

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Solution

The fourth proportional to 17,465.99, 24,103.17 and 9,508.21 is: 13,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.99 : 24,103.17 = 9,508.21 : x
  2. Step 2: Convert to fraction form
    17,465.99/24,103.17 = 9,508.21/x
  3. Step 3: Cross multiply
    17,465.99x = 24,103.17 × 9,508.21
  4. Step 4: Simplify right side
    17,465.99x = 229,177,941.77
  5. Step 5: Solve for x
    x = 229,177,941.77/17,465.99
  6. Step 6: Final answer
    x = 13,121.39

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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.