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Finding the Fourth Proportional to 24,859.23, 37,294.68 and 8,219.26

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Solution

The fourth proportional to 24,859.23, 37,294.68 and 8,219.26 is: 12,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.23 : 37,294.68 = 8,219.26 : x
  2. Step 2: Convert to fraction form
    24,859.23/37,294.68 = 8,219.26/x
  3. Step 3: Cross multiply
    24,859.23x = 37,294.68 × 8,219.26
  4. Step 4: Simplify right side
    24,859.23x = 306,534,671.54
  5. Step 5: Solve for x
    x = 306,534,671.54/24,859.23
  6. Step 6: Final answer
    x = 12,330.82

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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.