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Finding the Fourth Proportional to 13,783.91, 19,021.84 and 7,496.28

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Solution

The fourth proportional to 13,783.91, 19,021.84 and 7,496.28 is: 10,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.91 : 19,021.84 = 7,496.28 : x
  2. Step 2: Convert to fraction form
    13,783.91/19,021.84 = 7,496.28/x
  3. Step 3: Cross multiply
    13,783.91x = 19,021.84 × 7,496.28
  4. Step 4: Simplify right side
    13,783.91x = 142,593,020.01
  5. Step 5: Solve for x
    x = 142,593,020.01/13,783.91
  6. Step 6: Final answer
    x = 10,344.89

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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.