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Finding the Fourth Proportional to 22,811.24, 34,219.02 and 8,957

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Solution

The fourth proportional to 22,811.24, 34,219.02 and 8,957 is: 13,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.24 : 34,219.02 = 8,957 : x
  2. Step 2: Convert to fraction form
    22,811.24/34,219.02 = 8,957/x
  3. Step 3: Cross multiply
    22,811.24x = 34,219.02 × 8,957
  4. Step 4: Simplify right side
    22,811.24x = 306,499,762.14
  5. Step 5: Solve for x
    x = 306,499,762.14/22,811.24
  6. Step 6: Final answer
    x = 13,436.35

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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.