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Finding the Fourth Proportional to 13,917.78, 19,205.81 and 7,948.27

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Solution

The fourth proportional to 13,917.78, 19,205.81 and 7,948.27 is: 10,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.78 : 19,205.81 = 7,948.27 : x
  2. Step 2: Convert to fraction form
    13,917.78/19,205.81 = 7,948.27/x
  3. Step 3: Cross multiply
    13,917.78x = 19,205.81 × 7,948.27
  4. Step 4: Simplify right side
    13,917.78x = 152,652,923.71
  5. Step 5: Solve for x
    x = 152,652,923.71/13,917.78
  6. Step 6: Final answer
    x = 10,968.20

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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.