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Finding the Fourth Proportional to 22,856.51, 34,285.51 and 7,863.47

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Solution

The fourth proportional to 22,856.51, 34,285.51 and 7,863.47 is: 11,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.51 : 34,285.51 = 7,863.47 : x
  2. Step 2: Convert to fraction form
    22,856.51/34,285.51 = 7,863.47/x
  3. Step 3: Cross multiply
    22,856.51x = 34,285.51 × 7,863.47
  4. Step 4: Simplify right side
    22,856.51x = 269,603,079.32
  5. Step 5: Solve for x
    x = 269,603,079.32/22,856.51
  6. Step 6: Final answer
    x = 11,795.46

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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.