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Finding the Fourth Proportional to 13,783.98, 19,022.04 and 7,496.37

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Solution

The fourth proportional to 13,783.98, 19,022.04 and 7,496.37 is: 10,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.98 : 19,022.04 = 7,496.37 : x
  2. Step 2: Convert to fraction form
    13,783.98/19,022.04 = 7,496.37/x
  3. Step 3: Cross multiply
    13,783.98x = 19,022.04 × 7,496.37
  4. Step 4: Simplify right side
    13,783.98x = 142,596,249.99
  5. Step 5: Solve for x
    x = 142,596,249.99/13,783.98
  6. Step 6: Final answer
    x = 10,345.07

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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.