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Finding the Fourth Proportional to 17,195.82, 23,728.86 and 9,641.13

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Solution

The fourth proportional to 17,195.82, 23,728.86 and 9,641.13 is: 13,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,195.82 : 23,728.86 = 9,641.13 : x
  2. Step 2: Convert to fraction form
    17,195.82/23,728.86 = 9,641.13/x
  3. Step 3: Cross multiply
    17,195.82x = 23,728.86 × 9,641.13
  4. Step 4: Simplify right side
    17,195.82x = 228,773,024.01
  5. Step 5: Solve for x
    x = 228,773,024.01/17,195.82
  6. Step 6: Final answer
    x = 13,303.99

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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.