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Finding the Fourth Proportional to 17,339.22, 23,922.18 and 9,784.62

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Solution

The fourth proportional to 17,339.22, 23,922.18 and 9,784.62 is: 13,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.22 : 23,922.18 = 9,784.62 : x
  2. Step 2: Convert to fraction form
    17,339.22/23,922.18 = 9,784.62/x
  3. Step 3: Cross multiply
    17,339.22x = 23,922.18 × 9,784.62
  4. Step 4: Simplify right side
    17,339.22x = 234,069,440.87
  5. Step 5: Solve for x
    x = 234,069,440.87/17,339.22
  6. Step 6: Final answer
    x = 13,499.42

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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.