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Finding the Fourth Proportional to 21,513.67, 32,259.38 and 9,657.24

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Solution

The fourth proportional to 21,513.67, 32,259.38 and 9,657.24 is: 14,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.67 : 32,259.38 = 9,657.24 : x
  2. Step 2: Convert to fraction form
    21,513.67/32,259.38 = 9,657.24/x
  3. Step 3: Cross multiply
    21,513.67x = 32,259.38 × 9,657.24
  4. Step 4: Simplify right side
    21,513.67x = 311,536,425.81
  5. Step 5: Solve for x
    x = 311,536,425.81/21,513.67
  6. Step 6: Final answer
    x = 14,480.86

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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.