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Finding the Fourth Proportional to 13,710.57, 20,568.01 and 5,813.11

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Solution

The fourth proportional to 13,710.57, 20,568.01 and 5,813.11 is: 8,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.57 : 20,568.01 = 5,813.11 : x
  2. Step 2: Convert to fraction form
    13,710.57/20,568.01 = 5,813.11/x
  3. Step 3: Cross multiply
    13,710.57x = 20,568.01 × 5,813.11
  4. Step 4: Simplify right side
    13,710.57x = 119,564,104.61
  5. Step 5: Solve for x
    x = 119,564,104.61/13,710.57
  6. Step 6: Final answer
    x = 8,720.58

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Why These Related Problems?

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