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Finding the Fourth Proportional to 16,487.85, 22,783.38 and 12,003.80

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Solution

The fourth proportional to 16,487.85, 22,783.38 and 12,003.80 is: 16,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.85 : 22,783.38 = 12,003.80 : x
  2. Step 2: Convert to fraction form
    16,487.85/22,783.38 = 12,003.80/x
  3. Step 3: Cross multiply
    16,487.85x = 22,783.38 × 12,003.80
  4. Step 4: Simplify right side
    16,487.85x = 273,486,977.91
  5. Step 5: Solve for x
    x = 273,486,977.91/16,487.85
  6. Step 6: Final answer
    x = 16,587.18

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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.