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Finding the Fourth Proportional to 24,376.22, 36,564.51 and 7,736.30

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Solution

The fourth proportional to 24,376.22, 36,564.51 and 7,736.30 is: 11,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.22 : 36,564.51 = 7,736.30 : x
  2. Step 2: Convert to fraction form
    24,376.22/36,564.51 = 7,736.30/x
  3. Step 3: Cross multiply
    24,376.22x = 36,564.51 × 7,736.30
  4. Step 4: Simplify right side
    24,376.22x = 282,874,018.71
  5. Step 5: Solve for x
    x = 282,874,018.71/24,376.22
  6. Step 6: Final answer
    x = 11,604.51

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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.