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Finding the Fourth Proportional to 13,666.75, 18,856.87 and 7,697.23

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Solution

The fourth proportional to 13,666.75, 18,856.87 and 7,697.23 is: 10,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.75 : 18,856.87 = 7,697.23 : x
  2. Step 2: Convert to fraction form
    13,666.75/18,856.87 = 7,697.23/x
  3. Step 3: Cross multiply
    13,666.75x = 18,856.87 × 7,697.23
  4. Step 4: Simplify right side
    13,666.75x = 145,145,665.47
  5. Step 5: Solve for x
    x = 145,145,665.47/13,666.75
  6. Step 6: Final answer
    x = 10,620.35

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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.