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Finding the Fourth Proportional to 13,976.34, 19,287.07 and 7,688.71

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Solution

The fourth proportional to 13,976.34, 19,287.07 and 7,688.71 is: 10,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.34 : 19,287.07 = 7,688.71 : x
  2. Step 2: Convert to fraction form
    13,976.34/19,287.07 = 7,688.71/x
  3. Step 3: Cross multiply
    13,976.34x = 19,287.07 × 7,688.71
  4. Step 4: Simplify right side
    13,976.34x = 148,292,687.98
  5. Step 5: Solve for x
    x = 148,292,687.98/13,976.34
  6. Step 6: Final answer
    x = 10,610.27

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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.