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Finding the Fourth Proportional to 22,448.96, 30,977.45 and 13,016.50

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Solution

The fourth proportional to 22,448.96, 30,977.45 and 13,016.50 is: 17,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.96 : 30,977.45 = 13,016.50 : x
  2. Step 2: Convert to fraction form
    22,448.96/30,977.45 = 13,016.50/x
  3. Step 3: Cross multiply
    22,448.96x = 30,977.45 × 13,016.50
  4. Step 4: Simplify right side
    22,448.96x = 403,217,977.93
  5. Step 5: Solve for x
    x = 403,217,977.93/22,448.96
  6. Step 6: Final answer
    x = 17,961.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.