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Finding the Fourth Proportional to 12,228.96, 16,876.56 and 6,924

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Solution

The fourth proportional to 12,228.96, 16,876.56 and 6,924 is: 9,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.96 : 16,876.56 = 6,924 : x
  2. Step 2: Convert to fraction form
    12,228.96/16,876.56 = 6,924/x
  3. Step 3: Cross multiply
    12,228.96x = 16,876.56 × 6,924
  4. Step 4: Simplify right side
    12,228.96x = 116,853,301.44
  5. Step 5: Solve for x
    x = 116,853,301.44/12,228.96
  6. Step 6: Final answer
    x = 9,555.46

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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.