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Finding the Fourth Proportional to 22,877.12, 34,316.28 and 7,884.08

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Solution

The fourth proportional to 22,877.12, 34,316.28 and 7,884.08 is: 11,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.12 : 34,316.28 = 7,884.08 : x
  2. Step 2: Convert to fraction form
    22,877.12/34,316.28 = 7,884.08/x
  3. Step 3: Cross multiply
    22,877.12x = 34,316.28 × 7,884.08
  4. Step 4: Simplify right side
    22,877.12x = 270,552,296.82
  5. Step 5: Solve for x
    x = 270,552,296.82/22,877.12
  6. Step 6: Final answer
    x = 11,826.33

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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.