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Finding the Fourth Proportional to 24,411.45, 36,619.87 and 7,765.64

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Solution

The fourth proportional to 24,411.45, 36,619.87 and 7,765.64 is: 11,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.45 : 36,619.87 = 7,765.64 : x
  2. Step 2: Convert to fraction form
    24,411.45/36,619.87 = 7,765.64/x
  3. Step 3: Cross multiply
    24,411.45x = 36,619.87 × 7,765.64
  4. Step 4: Simplify right side
    24,411.45x = 284,376,727.27
  5. Step 5: Solve for x
    x = 284,376,727.27/24,411.45
  6. Step 6: Final answer
    x = 11,649.32

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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.