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Finding the Fourth Proportional to 13,799.36, 19,042.44 and 7,830.87

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Solution

The fourth proportional to 13,799.36, 19,042.44 and 7,830.87 is: 10,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.36 : 19,042.44 = 7,830.87 : x
  2. Step 2: Convert to fraction form
    13,799.36/19,042.44 = 7,830.87/x
  3. Step 3: Cross multiply
    13,799.36x = 19,042.44 × 7,830.87
  4. Step 4: Simplify right side
    13,799.36x = 149,118,872.12
  5. Step 5: Solve for x
    x = 149,118,872.12/13,799.36
  6. Step 6: Final answer
    x = 10,806.22

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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.