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Finding the Fourth Proportional to 13,799.97, 19,048.14 and 8,134.32

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Solution

The fourth proportional to 13,799.97, 19,048.14 and 8,134.32 is: 11,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.97 : 19,048.14 = 8,134.32 : x
  2. Step 2: Convert to fraction form
    13,799.97/19,048.14 = 8,134.32/x
  3. Step 3: Cross multiply
    13,799.97x = 19,048.14 × 8,134.32
  4. Step 4: Simplify right side
    13,799.97x = 154,943,666.16
  5. Step 5: Solve for x
    x = 154,943,666.16/13,799.97
  6. Step 6: Final answer
    x = 11,227.83

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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.