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Finding the Fourth Proportional to 13,792.68, 20,688.90 and 5,474.58

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Solution

The fourth proportional to 13,792.68, 20,688.90 and 5,474.58 is: 8,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.68 : 20,688.90 = 5,474.58 : x
  2. Step 2: Convert to fraction form
    13,792.68/20,688.90 = 5,474.58/x
  3. Step 3: Cross multiply
    13,792.68x = 20,688.90 × 5,474.58
  4. Step 4: Simplify right side
    13,792.68x = 113,263,038.16
  5. Step 5: Solve for x
    x = 113,263,038.16/13,792.68
  6. Step 6: Final answer
    x = 8,211.82

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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.