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Finding the Fourth Proportional to 13,388.69, 18,466.00 and 9,143.17

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Solution

The fourth proportional to 13,388.69, 18,466.00 and 9,143.17 is: 12,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.69 : 18,466.00 = 9,143.17 : x
  2. Step 2: Convert to fraction form
    13,388.69/18,466.00 = 9,143.17/x
  3. Step 3: Cross multiply
    13,388.69x = 18,466.00 × 9,143.17
  4. Step 4: Simplify right side
    13,388.69x = 168,837,708.20
  5. Step 5: Solve for x
    x = 168,837,708.20/13,388.69
  6. Step 6: Final answer
    x = 12,610.47

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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.