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Finding the Fourth Proportional to 13,122.14, 18,107.86 and 7,456.10

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Solution

The fourth proportional to 13,122.14, 18,107.86 and 7,456.10 is: 10,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.14 : 18,107.86 = 7,456.10 : x
  2. Step 2: Convert to fraction form
    13,122.14/18,107.86 = 7,456.10/x
  3. Step 3: Cross multiply
    13,122.14x = 18,107.86 × 7,456.10
  4. Step 4: Simplify right side
    13,122.14x = 135,014,014.95
  5. Step 5: Solve for x
    x = 135,014,014.95/13,122.14
  6. Step 6: Final answer
    x = 10,289.02

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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.