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Finding the Fourth Proportional to 21,676.25, 32,513.65 and 9,188.24

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Solution

The fourth proportional to 21,676.25, 32,513.65 and 9,188.24 is: 13,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.25 : 32,513.65 = 9,188.24 : x
  2. Step 2: Convert to fraction form
    21,676.25/32,513.65 = 9,188.24/x
  3. Step 3: Cross multiply
    21,676.25x = 32,513.65 × 9,188.24
  4. Step 4: Simplify right side
    21,676.25x = 298,743,277.79
  5. Step 5: Solve for x
    x = 298,743,277.79/21,676.25
  6. Step 6: Final answer
    x = 13,782.05

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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.