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Finding the Fourth Proportional to 21,665.88, 32,506.11 and 9,185.40

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Solution

The fourth proportional to 21,665.88, 32,506.11 and 9,185.40 is: 13,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.88 : 32,506.11 = 9,185.40 : x
  2. Step 2: Convert to fraction form
    21,665.88/32,506.11 = 9,185.40/x
  3. Step 3: Cross multiply
    21,665.88x = 32,506.11 × 9,185.40
  4. Step 4: Simplify right side
    21,665.88x = 298,581,622.79
  5. Step 5: Solve for x
    x = 298,581,622.79/21,665.88
  6. Step 6: Final answer
    x = 13,781.19

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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.