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Finding the Fourth Proportional to 13,976.60, 19,287.74 and 7,688.97

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Solution

The fourth proportional to 13,976.60, 19,287.74 and 7,688.97 is: 10,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.60 : 19,287.74 = 7,688.97 : x
  2. Step 2: Convert to fraction form
    13,976.60/19,287.74 = 7,688.97/x
  3. Step 3: Cross multiply
    13,976.60x = 19,287.74 × 7,688.97
  4. Step 4: Simplify right side
    13,976.60x = 148,302,815.78
  5. Step 5: Solve for x
    x = 148,302,815.78/13,976.60
  6. Step 6: Final answer
    x = 10,610.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.