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Finding the Fourth Proportional to 24,309.51, 36,468.36 and 7,669.17

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Solution

The fourth proportional to 24,309.51, 36,468.36 and 7,669.17 is: 11,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.51 : 36,468.36 = 7,669.17 : x
  2. Step 2: Convert to fraction form
    24,309.51/36,468.36 = 7,669.17/x
  3. Step 3: Cross multiply
    24,309.51x = 36,468.36 × 7,669.17
  4. Step 4: Simplify right side
    24,309.51x = 279,682,052.46
  5. Step 5: Solve for x
    x = 279,682,052.46/24,309.51
  6. Step 6: Final answer
    x = 11,505.05

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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.