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Finding the Fourth Proportional to 17,600.82, 24,289.14 and 9,643.06

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Solution

The fourth proportional to 17,600.82, 24,289.14 and 9,643.06 is: 13,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.82 : 24,289.14 = 9,643.06 : x
  2. Step 2: Convert to fraction form
    17,600.82/24,289.14 = 9,643.06/x
  3. Step 3: Cross multiply
    17,600.82x = 24,289.14 × 9,643.06
  4. Step 4: Simplify right side
    17,600.82x = 234,221,634.37
  5. Step 5: Solve for x
    x = 234,221,634.37/17,600.82
  6. Step 6: Final answer
    x = 13,307.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.