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Finding the Fourth Proportional to 16,572, 22,861.79 and 9,853.80

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Solution

The fourth proportional to 16,572, 22,861.79 and 9,853.80 is: 13,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,572 : 22,861.79 = 9,853.80 : x
  2. Step 2: Convert to fraction form
    16,572/22,861.79 = 9,853.80/x
  3. Step 3: Cross multiply
    16,572x = 22,861.79 × 9,853.80
  4. Step 4: Simplify right side
    16,572x = 225,275,506.30
  5. Step 5: Solve for x
    x = 225,275,506.30/16,572
  6. Step 6: Final answer
    x = 13,593.74

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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.