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Finding the Fourth Proportional to 17,093.16, 23,589.22 and 9,641

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Solution

The fourth proportional to 17,093.16, 23,589.22 and 9,641 is: 13,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093.16 : 23,589.22 = 9,641 : x
  2. Step 2: Convert to fraction form
    17,093.16/23,589.22 = 9,641/x
  3. Step 3: Cross multiply
    17,093.16x = 23,589.22 × 9,641
  4. Step 4: Simplify right side
    17,093.16x = 227,423,670.02
  5. Step 5: Solve for x
    x = 227,423,670.02/17,093.16
  6. Step 6: Final answer
    x = 13,304.95

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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.