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Finding the Fourth Proportional to 13,906.78, 19,191.20 and 7,533.25

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Solution

The fourth proportional to 13,906.78, 19,191.20 and 7,533.25 is: 10,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.78 : 19,191.20 = 7,533.25 : x
  2. Step 2: Convert to fraction form
    13,906.78/19,191.20 = 7,533.25/x
  3. Step 3: Cross multiply
    13,906.78x = 19,191.20 × 7,533.25
  4. Step 4: Simplify right side
    13,906.78x = 144,572,021.76
  5. Step 5: Solve for x
    x = 144,572,021.76/13,906.78
  6. Step 6: Final answer
    x = 10,395.80

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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.