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Finding the Fourth Proportional to 13,014.69, 17,947.98 and 8,542.32

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Solution

The fourth proportional to 13,014.69, 17,947.98 and 8,542.32 is: 11,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.69 : 17,947.98 = 8,542.32 : x
  2. Step 2: Convert to fraction form
    13,014.69/17,947.98 = 8,542.32/x
  3. Step 3: Cross multiply
    13,014.69x = 17,947.98 × 8,542.32
  4. Step 4: Simplify right side
    13,014.69x = 153,317,388.51
  5. Step 5: Solve for x
    x = 153,317,388.51/13,014.69
  6. Step 6: Final answer
    x = 11,780.33

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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.