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Finding the Fourth Proportional to 14,241.24, 19,652.42 and 7,867.46

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Solution

The fourth proportional to 14,241.24, 19,652.42 and 7,867.46 is: 10,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.24 : 19,652.42 = 7,867.46 : x
  2. Step 2: Convert to fraction form
    14,241.24/19,652.42 = 7,867.46/x
  3. Step 3: Cross multiply
    14,241.24x = 19,652.42 × 7,867.46
  4. Step 4: Simplify right side
    14,241.24x = 154,614,628.25
  5. Step 5: Solve for x
    x = 154,614,628.25/14,241.24
  6. Step 6: Final answer
    x = 10,856.82

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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.