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Finding the Fourth Proportional to 13,771.49, 19,005.47 and 7,722.24

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Solution

The fourth proportional to 13,771.49, 19,005.47 and 7,722.24 is: 10,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.49 : 19,005.47 = 7,722.24 : x
  2. Step 2: Convert to fraction form
    13,771.49/19,005.47 = 7,722.24/x
  3. Step 3: Cross multiply
    13,771.49x = 19,005.47 × 7,722.24
  4. Step 4: Simplify right side
    13,771.49x = 146,764,719.73
  5. Step 5: Solve for x
    x = 146,764,719.73/13,771.49
  6. Step 6: Final answer
    x = 10,657.15

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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.