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Finding the Fourth Proportional to 13,282.75, 18,330.08 and 7,314.29

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Solution

The fourth proportional to 13,282.75, 18,330.08 and 7,314.29 is: 10,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.75 : 18,330.08 = 7,314.29 : x
  2. Step 2: Convert to fraction form
    13,282.75/18,330.08 = 7,314.29/x
  3. Step 3: Cross multiply
    13,282.75x = 18,330.08 × 7,314.29
  4. Step 4: Simplify right side
    13,282.75x = 134,071,520.84
  5. Step 5: Solve for x
    x = 134,071,520.84/13,282.75
  6. Step 6: Final answer
    x = 10,093.66

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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.