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Finding the Fourth Proportional to 29,135.77, 40,206.38 and 16,389.20

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Solution

The fourth proportional to 29,135.77, 40,206.38 and 16,389.20 is: 22,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,135.77 : 40,206.38 = 16,389.20 : x
  2. Step 2: Convert to fraction form
    29,135.77/40,206.38 = 16,389.20/x
  3. Step 3: Cross multiply
    29,135.77x = 40,206.38 × 16,389.20
  4. Step 4: Simplify right side
    29,135.77x = 658,950,421.67
  5. Step 5: Solve for x
    x = 658,950,421.67/29,135.77
  6. Step 6: Final answer
    x = 22,616.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.