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Finding the Fourth Proportional to 16,498.89, 22,762.80 and 9,327.96

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Solution

The fourth proportional to 16,498.89, 22,762.80 and 9,327.96 is: 12,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.89 : 22,762.80 = 9,327.96 : x
  2. Step 2: Convert to fraction form
    16,498.89/22,762.80 = 9,327.96/x
  3. Step 3: Cross multiply
    16,498.89x = 22,762.80 × 9,327.96
  4. Step 4: Simplify right side
    16,498.89x = 212,330,487.89
  5. Step 5: Solve for x
    x = 212,330,487.89/16,498.89
  6. Step 6: Final answer
    x = 12,869.38

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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.