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Finding the Fourth Proportional to 17,337.22, 23,923.62 and 9,782.86

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Solution

The fourth proportional to 17,337.22, 23,923.62 and 9,782.86 is: 13,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,337.22 : 23,923.62 = 9,782.86 : x
  2. Step 2: Convert to fraction form
    17,337.22/23,923.62 = 9,782.86/x
  3. Step 3: Cross multiply
    17,337.22x = 23,923.62 × 9,782.86
  4. Step 4: Simplify right side
    17,337.22x = 234,041,425.15
  5. Step 5: Solve for x
    x = 234,041,425.15/17,337.22
  6. Step 6: Final answer
    x = 13,499.36

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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.