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Finding the Fourth Proportional to 15,226.56, 22,839.58 and 7,826.76

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Solution

The fourth proportional to 15,226.56, 22,839.58 and 7,826.76 is: 11,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.56 : 22,839.58 = 7,826.76 : x
  2. Step 2: Convert to fraction form
    15,226.56/22,839.58 = 7,826.76/x
  3. Step 3: Cross multiply
    15,226.56x = 22,839.58 × 7,826.76
  4. Step 4: Simplify right side
    15,226.56x = 178,759,911.16
  5. Step 5: Solve for x
    x = 178,759,911.16/15,226.56
  6. Step 6: Final answer
    x = 11,740.01

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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.