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Finding the Fourth Proportional to 13,194.34, 19,792.12 and 7,346.54

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Solution

The fourth proportional to 13,194.34, 19,792.12 and 7,346.54 is: 11,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.34 : 19,792.12 = 7,346.54 : x
  2. Step 2: Convert to fraction form
    13,194.34/19,792.12 = 7,346.54/x
  3. Step 3: Cross multiply
    13,194.34x = 19,792.12 × 7,346.54
  4. Step 4: Simplify right side
    13,194.34x = 145,403,601.26
  5. Step 5: Solve for x
    x = 145,403,601.26/13,194.34
  6. Step 6: Final answer
    x = 11,020.15

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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.