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Finding the Fourth Proportional to 15,385.71, 23,078.57 and 7,986.36

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Solution

The fourth proportional to 15,385.71, 23,078.57 and 7,986.36 is: 11,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,385.71 : 23,078.57 = 7,986.36 : x
  2. Step 2: Convert to fraction form
    15,385.71/23,078.57 = 7,986.36/x
  3. Step 3: Cross multiply
    15,385.71x = 23,078.57 × 7,986.36
  4. Step 4: Simplify right side
    15,385.71x = 184,313,768.31
  5. Step 5: Solve for x
    x = 184,313,768.31/15,385.71
  6. Step 6: Final answer
    x = 11,979.54

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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.