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Finding the Fourth Proportional to 24,378.92, 36,564.64 and 7,736.79

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Solution

The fourth proportional to 24,378.92, 36,564.64 and 7,736.79 is: 11,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.92 : 36,564.64 = 7,736.79 : x
  2. Step 2: Convert to fraction form
    24,378.92/36,564.64 = 7,736.79/x
  3. Step 3: Cross multiply
    24,378.92x = 36,564.64 × 7,736.79
  4. Step 4: Simplify right side
    24,378.92x = 282,892,921.76
  5. Step 5: Solve for x
    x = 282,892,921.76/24,378.92
  6. Step 6: Final answer
    x = 11,604.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.