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Finding the Fourth Proportional to 11,817.78, 17,640.18 and 10,416.58

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Solution

The fourth proportional to 11,817.78, 17,640.18 and 10,416.58 is: 15,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.78 : 17,640.18 = 10,416.58 : x
  2. Step 2: Convert to fraction form
    11,817.78/17,640.18 = 10,416.58/x
  3. Step 3: Cross multiply
    11,817.78x = 17,640.18 × 10,416.58
  4. Step 4: Simplify right side
    11,817.78x = 183,750,346.18
  5. Step 5: Solve for x
    x = 183,750,346.18/11,817.78
  6. Step 6: Final answer
    x = 15,548.63

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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.