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Finding the Fourth Proportional to 19,661.78, 29,484.84 and 7,178.96

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Solution

The fourth proportional to 19,661.78, 29,484.84 and 7,178.96 is: 10,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.78 : 29,484.84 = 7,178.96 : x
  2. Step 2: Convert to fraction form
    19,661.78/29,484.84 = 7,178.96/x
  3. Step 3: Cross multiply
    19,661.78x = 29,484.84 × 7,178.96
  4. Step 4: Simplify right side
    19,661.78x = 211,670,486.97
  5. Step 5: Solve for x
    x = 211,670,486.97/19,661.78
  6. Step 6: Final answer
    x = 10,765.58

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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.