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Finding the Fourth Proportional to 16,539.38, 22,824.72 and 8,985.98

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Solution

The fourth proportional to 16,539.38, 22,824.72 and 8,985.98 is: 12,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.38 : 22,824.72 = 8,985.98 : x
  2. Step 2: Convert to fraction form
    16,539.38/22,824.72 = 8,985.98/x
  3. Step 3: Cross multiply
    16,539.38x = 22,824.72 × 8,985.98
  4. Step 4: Simplify right side
    16,539.38x = 205,102,477.43
  5. Step 5: Solve for x
    x = 205,102,477.43/16,539.38
  6. Step 6: Final answer
    x = 12,400.86

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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.