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Finding the Fourth Proportional to 12,874.38, 19,314.40 and 7,330.32

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Solution

The fourth proportional to 12,874.38, 19,314.40 and 7,330.32 is: 10,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.38 : 19,314.40 = 7,330.32 : x
  2. Step 2: Convert to fraction form
    12,874.38/19,314.40 = 7,330.32/x
  3. Step 3: Cross multiply
    12,874.38x = 19,314.40 × 7,330.32
  4. Step 4: Simplify right side
    12,874.38x = 141,580,732.61
  5. Step 5: Solve for x
    x = 141,580,732.61/12,874.38
  6. Step 6: Final answer
    x = 10,997.09

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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.