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Finding the Fourth Proportional to 39,215.71, 58,822.64 and 9,633.50

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Solution

The fourth proportional to 39,215.71, 58,822.64 and 9,633.50 is: 14,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,215.71 : 58,822.64 = 9,633.50 : x
  2. Step 2: Convert to fraction form
    39,215.71/58,822.64 = 9,633.50/x
  3. Step 3: Cross multiply
    39,215.71x = 58,822.64 × 9,633.50
  4. Step 4: Simplify right side
    39,215.71x = 566,667,902.44
  5. Step 5: Solve for x
    x = 566,667,902.44/39,215.71
  6. Step 6: Final answer
    x = 14,450.02

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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.