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Finding the Fourth Proportional to 15,524.92, 23,289.71 and 7,205.79

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Solution

The fourth proportional to 15,524.92, 23,289.71 and 7,205.79 is: 10,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.92 : 23,289.71 = 7,205.79 : x
  2. Step 2: Convert to fraction form
    15,524.92/23,289.71 = 7,205.79/x
  3. Step 3: Cross multiply
    15,524.92x = 23,289.71 × 7,205.79
  4. Step 4: Simplify right side
    15,524.92x = 167,820,723.39
  5. Step 5: Solve for x
    x = 167,820,723.39/15,524.92
  6. Step 6: Final answer
    x = 10,809.77

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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.