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Finding the Fourth Proportional to 19,862.82, 29,813.67 and 9,481.86

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Solution

The fourth proportional to 19,862.82, 29,813.67 and 9,481.86 is: 14,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.82 : 29,813.67 = 9,481.86 : x
  2. Step 2: Convert to fraction form
    19,862.82/29,813.67 = 9,481.86/x
  3. Step 3: Cross multiply
    19,862.82x = 29,813.67 × 9,481.86
  4. Step 4: Simplify right side
    19,862.82x = 282,689,045.03
  5. Step 5: Solve for x
    x = 282,689,045.03/19,862.82
  6. Step 6: Final answer
    x = 14,232.07

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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.