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Finding the Fourth Proportional to 20,998.70, 28,977.50 and 11,567.24

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Solution

The fourth proportional to 20,998.70, 28,977.50 and 11,567.24 is: 15,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.70 : 28,977.50 = 11,567.24 : x
  2. Step 2: Convert to fraction form
    20,998.70/28,977.50 = 11,567.24/x
  3. Step 3: Cross multiply
    20,998.70x = 28,977.50 × 11,567.24
  4. Step 4: Simplify right side
    20,998.70x = 335,189,697.10
  5. Step 5: Solve for x
    x = 335,189,697.10/20,998.70
  6. Step 6: Final answer
    x = 15,962.40

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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.