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Finding the Fourth Proportional to 13,214.05, 18,244.95 and 8,506.53

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Solution

The fourth proportional to 13,214.05, 18,244.95 and 8,506.53 is: 11,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.05 : 18,244.95 = 8,506.53 : x
  2. Step 2: Convert to fraction form
    13,214.05/18,244.95 = 8,506.53/x
  3. Step 3: Cross multiply
    13,214.05x = 18,244.95 × 8,506.53
  4. Step 4: Simplify right side
    13,214.05x = 155,201,235.79
  5. Step 5: Solve for x
    x = 155,201,235.79/13,214.05
  6. Step 6: Final answer
    x = 11,745.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.