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Finding the Fourth Proportional to 24,069, 36,118.08 and 10,218

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Solution

The fourth proportional to 24,069, 36,118.08 and 10,218 is: 15,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,069 : 36,118.08 = 10,218 : x
  2. Step 2: Convert to fraction form
    24,069/36,118.08 = 10,218/x
  3. Step 3: Cross multiply
    24,069x = 36,118.08 × 10,218
  4. Step 4: Simplify right side
    24,069x = 369,054,541.44
  5. Step 5: Solve for x
    x = 369,054,541.44/24,069
  6. Step 6: Final answer
    x = 15,333.19

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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.