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Finding the Fourth Proportional to 13,102.31, 18,081.52 and 7,134.31

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Solution

The fourth proportional to 13,102.31, 18,081.52 and 7,134.31 is: 9,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.31 : 18,081.52 = 7,134.31 : x
  2. Step 2: Convert to fraction form
    13,102.31/18,081.52 = 7,134.31/x
  3. Step 3: Cross multiply
    13,102.31x = 18,081.52 × 7,134.31
  4. Step 4: Simplify right side
    13,102.31x = 128,999,173.72
  5. Step 5: Solve for x
    x = 128,999,173.72/13,102.31
  6. Step 6: Final answer
    x = 9,845.53

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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.