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Finding the Fourth Proportional to 16,652.76, 22,979.10 and 9,577.80

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Solution

The fourth proportional to 16,652.76, 22,979.10 and 9,577.80 is: 13,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.76 : 22,979.10 = 9,577.80 : x
  2. Step 2: Convert to fraction form
    16,652.76/22,979.10 = 9,577.80/x
  3. Step 3: Cross multiply
    16,652.76x = 22,979.10 × 9,577.80
  4. Step 4: Simplify right side
    16,652.76x = 220,089,223.98
  5. Step 5: Solve for x
    x = 220,089,223.98/16,652.76
  6. Step 6: Final answer
    x = 13,216.38

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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.