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Finding the Fourth Proportional to 17,591.10, 24,276 and 9,634.07

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Solution

The fourth proportional to 17,591.10, 24,276 and 9,634.07 is: 13,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,591.10 : 24,276 = 9,634.07 : x
  2. Step 2: Convert to fraction form
    17,591.10/24,276 = 9,634.07/x
  3. Step 3: Cross multiply
    17,591.10x = 24,276 × 9,634.07
  4. Step 4: Simplify right side
    17,591.10x = 233,876,683.32
  5. Step 5: Solve for x
    x = 233,876,683.32/17,591.10
  6. Step 6: Final answer
    x = 13,295.17

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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.