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Finding the Fourth Proportional to 24,083.79, 36,120.18 and 11,597.43

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Solution

The fourth proportional to 24,083.79, 36,120.18 and 11,597.43 is: 17,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.79 : 36,120.18 = 11,597.43 : x
  2. Step 2: Convert to fraction form
    24,083.79/36,120.18 = 11,597.43/x
  3. Step 3: Cross multiply
    24,083.79x = 36,120.18 × 11,597.43
  4. Step 4: Simplify right side
    24,083.79x = 418,901,259.14
  5. Step 5: Solve for x
    x = 418,901,259.14/24,083.79
  6. Step 6: Final answer
    x = 17,393.49

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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.