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Finding the Fourth Proportional to 23,140.11, 34,697.07 and 7,342.14

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Solution

The fourth proportional to 23,140.11, 34,697.07 and 7,342.14 is: 11,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140.11 : 34,697.07 = 7,342.14 : x
  2. Step 2: Convert to fraction form
    23,140.11/34,697.07 = 7,342.14/x
  3. Step 3: Cross multiply
    23,140.11x = 34,697.07 × 7,342.14
  4. Step 4: Simplify right side
    23,140.11x = 254,750,745.53
  5. Step 5: Solve for x
    x = 254,750,745.53/23,140.11
  6. Step 6: Final answer
    x = 11,009.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.