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Finding the Fourth Proportional to 13,282.68, 18,330.42 and 7,314.54

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Solution

The fourth proportional to 13,282.68, 18,330.42 and 7,314.54 is: 10,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.68 : 18,330.42 = 7,314.54 : x
  2. Step 2: Convert to fraction form
    13,282.68/18,330.42 = 7,314.54/x
  3. Step 3: Cross multiply
    13,282.68x = 18,330.42 × 7,314.54
  4. Step 4: Simplify right side
    13,282.68x = 134,078,590.31
  5. Step 5: Solve for x
    x = 134,078,590.31/13,282.68
  6. Step 6: Final answer
    x = 10,094.24

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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.