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Finding the Fourth Proportional to 16,579.42, 24,830.82 and 9,991.06

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Solution

The fourth proportional to 16,579.42, 24,830.82 and 9,991.06 is: 14,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579.42 : 24,830.82 = 9,991.06 : x
  2. Step 2: Convert to fraction form
    16,579.42/24,830.82 = 9,991.06/x
  3. Step 3: Cross multiply
    16,579.42x = 24,830.82 × 9,991.06
  4. Step 4: Simplify right side
    16,579.42x = 248,086,212.47
  5. Step 5: Solve for x
    x = 248,086,212.47/16,579.42
  6. Step 6: Final answer
    x = 14,963.50

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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.