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Finding the Fourth Proportional to 13,642.26, 20,449.73 and 5,746.68

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Solution

The fourth proportional to 13,642.26, 20,449.73 and 5,746.68 is: 8,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.26 : 20,449.73 = 5,746.68 : x
  2. Step 2: Convert to fraction form
    13,642.26/20,449.73 = 5,746.68/x
  3. Step 3: Cross multiply
    13,642.26x = 20,449.73 × 5,746.68
  4. Step 4: Simplify right side
    13,642.26x = 117,518,068.76
  5. Step 5: Solve for x
    x = 117,518,068.76/13,642.26
  6. Step 6: Final answer
    x = 8,614.27

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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.