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Finding the Fourth Proportional to 13,792.42, 20,683.59 and 5,024.74

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Solution

The fourth proportional to 13,792.42, 20,683.59 and 5,024.74 is: 7,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.42 : 20,683.59 = 5,024.74 : x
  2. Step 2: Convert to fraction form
    13,792.42/20,683.59 = 5,024.74/x
  3. Step 3: Cross multiply
    13,792.42x = 20,683.59 × 5,024.74
  4. Step 4: Simplify right side
    13,792.42x = 103,929,662.02
  5. Step 5: Solve for x
    x = 103,929,662.02/13,792.42
  6. Step 6: Final answer
    x = 7,535.27

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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.