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Finding the Fourth Proportional to 13,171.78, 19,758.75 and 4,406.77

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Solution

The fourth proportional to 13,171.78, 19,758.75 and 4,406.77 is: 6,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.78 : 19,758.75 = 4,406.77 : x
  2. Step 2: Convert to fraction form
    13,171.78/19,758.75 = 4,406.77/x
  3. Step 3: Cross multiply
    13,171.78x = 19,758.75 × 4,406.77
  4. Step 4: Simplify right side
    13,171.78x = 87,072,145.91
  5. Step 5: Solve for x
    x = 87,072,145.91/13,171.78
  6. Step 6: Final answer
    x = 6,610.51

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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.