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Finding the Fourth Proportional to 16,327.92, 22,537.65 and 9,259.05

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Solution

The fourth proportional to 16,327.92, 22,537.65 and 9,259.05 is: 12,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.92 : 22,537.65 = 9,259.05 : x
  2. Step 2: Convert to fraction form
    16,327.92/22,537.65 = 9,259.05/x
  3. Step 3: Cross multiply
    16,327.92x = 22,537.65 × 9,259.05
  4. Step 4: Simplify right side
    16,327.92x = 208,677,228.23
  5. Step 5: Solve for x
    x = 208,677,228.23/16,327.92
  6. Step 6: Final answer
    x = 12,780.39

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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.