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Finding the Fourth Proportional to 13,442.69, 18,551.95 and 8,065.33

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Solution

The fourth proportional to 13,442.69, 18,551.95 and 8,065.33 is: 11,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.69 : 18,551.95 = 8,065.33 : x
  2. Step 2: Convert to fraction form
    13,442.69/18,551.95 = 8,065.33/x
  3. Step 3: Cross multiply
    13,442.69x = 18,551.95 × 8,065.33
  4. Step 4: Simplify right side
    13,442.69x = 149,627,619.06
  5. Step 5: Solve for x
    x = 149,627,619.06/13,442.69
  6. Step 6: Final answer
    x = 11,130.78

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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.