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Finding the Fourth Proportional to 15,226.74, 22,840.23 and 5,363.76

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Solution

The fourth proportional to 15,226.74, 22,840.23 and 5,363.76 is: 8,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.74 : 22,840.23 = 5,363.76 : x
  2. Step 2: Convert to fraction form
    15,226.74/22,840.23 = 5,363.76/x
  3. Step 3: Cross multiply
    15,226.74x = 22,840.23 × 5,363.76
  4. Step 4: Simplify right side
    15,226.74x = 122,509,512.06
  5. Step 5: Solve for x
    x = 122,509,512.06/15,226.74
  6. Step 6: Final answer
    x = 8,045.68

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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.