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Finding the Fourth Proportional to 25,814.18, 38,727.94 and 8,284.16

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Solution

The fourth proportional to 25,814.18, 38,727.94 and 8,284.16 is: 12,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.18 : 38,727.94 = 8,284.16 : x
  2. Step 2: Convert to fraction form
    25,814.18/38,727.94 = 8,284.16/x
  3. Step 3: Cross multiply
    25,814.18x = 38,727.94 × 8,284.16
  4. Step 4: Simplify right side
    25,814.18x = 320,828,451.43
  5. Step 5: Solve for x
    x = 320,828,451.43/25,814.18
  6. Step 6: Final answer
    x = 12,428.38

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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.