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Finding the Fourth Proportional to 12,874.14, 19,322.14 and 5,088.42

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Solution

The fourth proportional to 12,874.14, 19,322.14 and 5,088.42 is: 7,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.14 : 19,322.14 = 5,088.42 : x
  2. Step 2: Convert to fraction form
    12,874.14/19,322.14 = 5,088.42/x
  3. Step 3: Cross multiply
    12,874.14x = 19,322.14 × 5,088.42
  4. Step 4: Simplify right side
    12,874.14x = 98,319,163.62
  5. Step 5: Solve for x
    x = 98,319,163.62/12,874.14
  6. Step 6: Final answer
    x = 7,636.95

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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.