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Finding the Fourth Proportional to 19,641.81, 29,462.72 and 16,171.77

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Solution

The fourth proportional to 19,641.81, 29,462.72 and 16,171.77 is: 24,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.81 : 29,462.72 = 16,171.77 : x
  2. Step 2: Convert to fraction form
    19,641.81/29,462.72 = 16,171.77/x
  3. Step 3: Cross multiply
    19,641.81x = 29,462.72 × 16,171.77
  4. Step 4: Simplify right side
    19,641.81x = 476,464,250.56
  5. Step 5: Solve for x
    x = 476,464,250.56/19,641.81
  6. Step 6: Final answer
    x = 24,257.66

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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.