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Finding the Fourth Proportional to 13,102.25, 19,639.53 and 9,402.46

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Solution

The fourth proportional to 13,102.25, 19,639.53 and 9,402.46 is: 14,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.25 : 19,639.53 = 9,402.46 : x
  2. Step 2: Convert to fraction form
    13,102.25/19,639.53 = 9,402.46/x
  3. Step 3: Cross multiply
    13,102.25x = 19,639.53 × 9,402.46
  4. Step 4: Simplify right side
    13,102.25x = 184,659,846.14
  5. Step 5: Solve for x
    x = 184,659,846.14/13,102.25
  6. Step 6: Final answer
    x = 14,093.76

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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.