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Finding the Fourth Proportional to 20,431.72, 30,646.95 and 5,641.54

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Solution

The fourth proportional to 20,431.72, 30,646.95 and 5,641.54 is: 8,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.72 : 30,646.95 = 5,641.54 : x
  2. Step 2: Convert to fraction form
    20,431.72/30,646.95 = 5,641.54/x
  3. Step 3: Cross multiply
    20,431.72x = 30,646.95 × 5,641.54
  4. Step 4: Simplify right side
    20,431.72x = 172,895,994.30
  5. Step 5: Solve for x
    x = 172,895,994.30/20,431.72
  6. Step 6: Final answer
    x = 8,462.14

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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.