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Finding the Fourth Proportional to 13,154.74, 19,729.20 and 3,792.68

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Solution

The fourth proportional to 13,154.74, 19,729.20 and 3,792.68 is: 5,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.74 : 19,729.20 = 3,792.68 : x
  2. Step 2: Convert to fraction form
    13,154.74/19,729.20 = 3,792.68/x
  3. Step 3: Cross multiply
    13,154.74x = 19,729.20 × 3,792.68
  4. Step 4: Simplify right side
    13,154.74x = 74,826,542.26
  5. Step 5: Solve for x
    x = 74,826,542.26/13,154.74
  6. Step 6: Final answer
    x = 5,688.18

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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.