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Finding the Fourth Proportional to 21,586.68, 32,360.85 and 8,436.06

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Solution

The fourth proportional to 21,586.68, 32,360.85 and 8,436.06 is: 12,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.68 : 32,360.85 = 8,436.06 : x
  2. Step 2: Convert to fraction form
    21,586.68/32,360.85 = 8,436.06/x
  3. Step 3: Cross multiply
    21,586.68x = 32,360.85 × 8,436.06
  4. Step 4: Simplify right side
    21,586.68x = 272,998,072.25
  5. Step 5: Solve for x
    x = 272,998,072.25/21,586.68
  6. Step 6: Final answer
    x = 12,646.60

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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.