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Finding the Fourth Proportional to 22,856.11, 34,287.98 and 7,862.63

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Solution

The fourth proportional to 22,856.11, 34,287.98 and 7,862.63 is: 11,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.11 : 34,287.98 = 7,862.63 : x
  2. Step 2: Convert to fraction form
    22,856.11/34,287.98 = 7,862.63/x
  3. Step 3: Cross multiply
    22,856.11x = 34,287.98 × 7,862.63
  4. Step 4: Simplify right side
    22,856.11x = 269,593,670.58
  5. Step 5: Solve for x
    x = 269,593,670.58/22,856.11
  6. Step 6: Final answer
    x = 11,795.25

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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.