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Finding the Fourth Proportional to 24,026, 36,029.82 and 11,542.46

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Solution

The fourth proportional to 24,026, 36,029.82 and 11,542.46 is: 17,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026 : 36,029.82 = 11,542.46 : x
  2. Step 2: Convert to fraction form
    24,026/36,029.82 = 11,542.46/x
  3. Step 3: Cross multiply
    24,026x = 36,029.82 × 11,542.46
  4. Step 4: Simplify right side
    24,026x = 415,872,756.16
  5. Step 5: Solve for x
    x = 415,872,756.16/24,026
  6. Step 6: Final answer
    x = 17,309.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.