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Finding the Fourth Proportional to 13,194.59, 19,792.49 and 7,346.79

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Solution

The fourth proportional to 13,194.59, 19,792.49 and 7,346.79 is: 11,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.59 : 19,792.49 = 7,346.79 : x
  2. Step 2: Convert to fraction form
    13,194.59/19,792.49 = 7,346.79/x
  3. Step 3: Cross multiply
    13,194.59x = 19,792.49 × 7,346.79
  4. Step 4: Simplify right side
    13,194.59x = 145,411,230.87
  5. Step 5: Solve for x
    x = 145,411,230.87/13,194.59
  6. Step 6: Final answer
    x = 11,020.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.