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Finding the Fourth Proportional to 13,054.86, 18,015.73 and 7,086.53

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Solution

The fourth proportional to 13,054.86, 18,015.73 and 7,086.53 is: 9,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.86 : 18,015.73 = 7,086.53 : x
  2. Step 2: Convert to fraction form
    13,054.86/18,015.73 = 7,086.53/x
  3. Step 3: Cross multiply
    13,054.86x = 18,015.73 × 7,086.53
  4. Step 4: Simplify right side
    13,054.86x = 127,669,011.12
  5. Step 5: Solve for x
    x = 127,669,011.12/13,054.86
  6. Step 6: Final answer
    x = 9,779.42

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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.