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Finding the Fourth Proportional to 13,317.88, 18,386.04 and 8,014

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Solution

The fourth proportional to 13,317.88, 18,386.04 and 8,014 is: 11,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,317.88 : 18,386.04 = 8,014 : x
  2. Step 2: Convert to fraction form
    13,317.88/18,386.04 = 8,014/x
  3. Step 3: Cross multiply
    13,317.88x = 18,386.04 × 8,014
  4. Step 4: Simplify right side
    13,317.88x = 147,345,724.56
  5. Step 5: Solve for x
    x = 147,345,724.56/13,317.88
  6. Step 6: Final answer
    x = 11,063.75

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Why These Related Problems?

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