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Finding the Fourth Proportional to 14,164.14, 19,545.54 and 7,876.56

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Solution

The fourth proportional to 14,164.14, 19,545.54 and 7,876.56 is: 10,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.14 : 19,545.54 = 7,876.56 : x
  2. Step 2: Convert to fraction form
    14,164.14/19,545.54 = 7,876.56/x
  3. Step 3: Cross multiply
    14,164.14x = 19,545.54 × 7,876.56
  4. Step 4: Simplify right side
    14,164.14x = 153,951,618.54
  5. Step 5: Solve for x
    x = 153,951,618.54/14,164.14
  6. Step 6: Final answer
    x = 10,869.11

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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.