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Finding the Fourth Proportional to 20,513.66, 30,759.75 and 9,410.72

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Solution

The fourth proportional to 20,513.66, 30,759.75 and 9,410.72 is: 14,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.66 : 30,759.75 = 9,410.72 : x
  2. Step 2: Convert to fraction form
    20,513.66/30,759.75 = 9,410.72/x
  3. Step 3: Cross multiply
    20,513.66x = 30,759.75 × 9,410.72
  4. Step 4: Simplify right side
    20,513.66x = 289,471,240.72
  5. Step 5: Solve for x
    x = 289,471,240.72/20,513.66
  6. Step 6: Final answer
    x = 14,111.15

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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.