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Finding the Fourth Proportional to 20,537.85, 30,779.93 and 10,534.15

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Solution

The fourth proportional to 20,537.85, 30,779.93 and 10,534.15 is: 15,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.85 : 30,779.93 = 10,534.15 : x
  2. Step 2: Convert to fraction form
    20,537.85/30,779.93 = 10,534.15/x
  3. Step 3: Cross multiply
    20,537.85x = 30,779.93 × 10,534.15
  4. Step 4: Simplify right side
    20,537.85x = 324,240,464.42
  5. Step 5: Solve for x
    x = 324,240,464.42/20,537.85
  6. Step 6: Final answer
    x = 15,787.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.