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Finding the Fourth Proportional to 20,775.83, 28,679.90 and 16,166.16

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Solution

The fourth proportional to 20,775.83, 28,679.90 and 16,166.16 is: 22,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.83 : 28,679.90 = 16,166.16 : x
  2. Step 2: Convert to fraction form
    20,775.83/28,679.90 = 16,166.16/x
  3. Step 3: Cross multiply
    20,775.83x = 28,679.90 × 16,166.16
  4. Step 4: Simplify right side
    20,775.83x = 463,643,771.35
  5. Step 5: Solve for x
    x = 463,643,771.35/20,775.83
  6. Step 6: Final answer
    x = 22,316.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.