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Finding the Fourth Proportional to 17,782.60, 26,671.10 and 11,188.60

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Solution

The fourth proportional to 17,782.60, 26,671.10 and 11,188.60 is: 16,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.60 : 26,671.10 = 11,188.60 : x
  2. Step 2: Convert to fraction form
    17,782.60/26,671.10 = 11,188.60/x
  3. Step 3: Cross multiply
    17,782.60x = 26,671.10 × 11,188.60
  4. Step 4: Simplify right side
    17,782.60x = 298,412,269.46
  5. Step 5: Solve for x
    x = 298,412,269.46/17,782.60
  6. Step 6: Final answer
    x = 16,781.14

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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.