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Finding the Fourth Proportional to 21,509.83, 32,266.74 and 8,363.20

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Solution

The fourth proportional to 21,509.83, 32,266.74 and 8,363.20 is: 12,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.83 : 32,266.74 = 8,363.20 : x
  2. Step 2: Convert to fraction form
    21,509.83/32,266.74 = 8,363.20/x
  3. Step 3: Cross multiply
    21,509.83x = 32,266.74 × 8,363.20
  4. Step 4: Simplify right side
    21,509.83x = 269,853,199.97
  5. Step 5: Solve for x
    x = 269,853,199.97/21,509.83
  6. Step 6: Final answer
    x = 12,545.58

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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.