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Finding the Fourth Proportional to 13,055.25, 18,015.78 and 7,086.78

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Solution

The fourth proportional to 13,055.25, 18,015.78 and 7,086.78 is: 9,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055.25 : 18,015.78 = 7,086.78 : x
  2. Step 2: Convert to fraction form
    13,055.25/18,015.78 = 7,086.78/x
  3. Step 3: Cross multiply
    13,055.25x = 18,015.78 × 7,086.78
  4. Step 4: Simplify right side
    13,055.25x = 127,673,869.39
  5. Step 5: Solve for x
    x = 127,673,869.39/13,055.25
  6. Step 6: Final answer
    x = 9,779.50

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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.