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Finding the Fourth Proportional to 13,197.34, 19,792.46 and 6,170.50

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Solution

The fourth proportional to 13,197.34, 19,792.46 and 6,170.50 is: 9,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.34 : 19,792.46 = 6,170.50 : x
  2. Step 2: Convert to fraction form
    13,197.34/19,792.46 = 6,170.50/x
  3. Step 3: Cross multiply
    13,197.34x = 19,792.46 × 6,170.50
  4. Step 4: Simplify right side
    13,197.34x = 122,129,414.60
  5. Step 5: Solve for x
    x = 122,129,414.60/13,197.34
  6. Step 6: Final answer
    x = 9,254.09

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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.