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Finding the Fourth Proportional to 13,784.40, 19,022.11 and 7,816.05

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Solution

The fourth proportional to 13,784.40, 19,022.11 and 7,816.05 is: 10,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.40 : 19,022.11 = 7,816.05 : x
  2. Step 2: Convert to fraction form
    13,784.40/19,022.11 = 7,816.05/x
  3. Step 3: Cross multiply
    13,784.40x = 19,022.11 × 7,816.05
  4. Step 4: Simplify right side
    13,784.40x = 148,677,743.33
  5. Step 5: Solve for x
    x = 148,677,743.33/13,784.40
  6. Step 6: Final answer
    x = 10,785.94

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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.