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Finding the Fourth Proportional to 13,302.92, 18,357.14 and 7,334.20

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Solution

The fourth proportional to 13,302.92, 18,357.14 and 7,334.20 is: 10,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.92 : 18,357.14 = 7,334.20 : x
  2. Step 2: Convert to fraction form
    13,302.92/18,357.14 = 7,334.20/x
  3. Step 3: Cross multiply
    13,302.92x = 18,357.14 × 7,334.20
  4. Step 4: Simplify right side
    13,302.92x = 134,634,936.19
  5. Step 5: Solve for x
    x = 134,634,936.19/13,302.92
  6. Step 6: Final answer
    x = 10,120.71

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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.