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Finding the Fourth Proportional to 11,454.20, 17,194.10 and 10,702.20

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Solution

The fourth proportional to 11,454.20, 17,194.10 and 10,702.20 is: 16,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.20 : 17,194.10 = 10,702.20 : x
  2. Step 2: Convert to fraction form
    11,454.20/17,194.10 = 10,702.20/x
  3. Step 3: Cross multiply
    11,454.20x = 17,194.10 × 10,702.20
  4. Step 4: Simplify right side
    11,454.20x = 184,014,697.02
  5. Step 5: Solve for x
    x = 184,014,697.02/11,454.20
  6. Step 6: Final answer
    x = 16,065.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.