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Finding the Fourth Proportional to 13,720.08, 20,585.54 and 5,824.31

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Solution

The fourth proportional to 13,720.08, 20,585.54 and 5,824.31 is: 8,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.08 : 20,585.54 = 5,824.31 : x
  2. Step 2: Convert to fraction form
    13,720.08/20,585.54 = 5,824.31/x
  3. Step 3: Cross multiply
    13,720.08x = 20,585.54 × 5,824.31
  4. Step 4: Simplify right side
    13,720.08x = 119,896,478.11
  5. Step 5: Solve for x
    x = 119,896,478.11/13,720.08
  6. Step 6: Final answer
    x = 8,738.76

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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.