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Finding the Fourth Proportional to 11,702.25, 17,478.63 and 10,589.94

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Solution

The fourth proportional to 11,702.25, 17,478.63 and 10,589.94 is: 15,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.25 : 17,478.63 = 10,589.94 : x
  2. Step 2: Convert to fraction form
    11,702.25/17,478.63 = 10,589.94/x
  3. Step 3: Cross multiply
    11,702.25x = 17,478.63 × 10,589.94
  4. Step 4: Simplify right side
    11,702.25x = 185,097,642.98
  5. Step 5: Solve for x
    x = 185,097,642.98/11,702.25
  6. Step 6: Final answer
    x = 15,817.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.