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Finding the Fourth Proportional to 21,665.16, 32,492.16 and 8,517.60

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Solution

The fourth proportional to 21,665.16, 32,492.16 and 8,517.60 is: 12,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.16 : 32,492.16 = 8,517.60 : x
  2. Step 2: Convert to fraction form
    21,665.16/32,492.16 = 8,517.60/x
  3. Step 3: Cross multiply
    21,665.16x = 32,492.16 × 8,517.60
  4. Step 4: Simplify right side
    21,665.16x = 276,755,222.02
  5. Step 5: Solve for x
    x = 276,755,222.02/21,665.16
  6. Step 6: Final answer
    x = 12,774.21

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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.