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Finding the Fourth Proportional to 17,263.82, 23,823.95 and 9,811.82

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Solution

The fourth proportional to 17,263.82, 23,823.95 and 9,811.82 is: 13,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.82 : 23,823.95 = 9,811.82 : x
  2. Step 2: Convert to fraction form
    17,263.82/23,823.95 = 9,811.82/x
  3. Step 3: Cross multiply
    17,263.82x = 23,823.95 × 9,811.82
  4. Step 4: Simplify right side
    17,263.82x = 233,756,319.59
  5. Step 5: Solve for x
    x = 233,756,319.59/17,263.82
  6. Step 6: Final answer
    x = 13,540.24

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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.