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Finding the Fourth Proportional to 12,522.24, 18,755.66 and 8,564.11

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Solution

The fourth proportional to 12,522.24, 18,755.66 and 8,564.11 is: 12,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.24 : 18,755.66 = 8,564.11 : x
  2. Step 2: Convert to fraction form
    12,522.24/18,755.66 = 8,564.11/x
  3. Step 3: Cross multiply
    12,522.24x = 18,755.66 × 8,564.11
  4. Step 4: Simplify right side
    12,522.24x = 160,625,492.54
  5. Step 5: Solve for x
    x = 160,625,492.54/12,522.24
  6. Step 6: Final answer
    x = 12,827.21

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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.