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Finding the Fourth Proportional to 13,799.68, 19,040.32 and 7,830

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Solution

The fourth proportional to 13,799.68, 19,040.32 and 7,830 is: 10,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.68 : 19,040.32 = 7,830 : x
  2. Step 2: Convert to fraction form
    13,799.68/19,040.32 = 7,830/x
  3. Step 3: Cross multiply
    13,799.68x = 19,040.32 × 7,830
  4. Step 4: Simplify right side
    13,799.68x = 149,085,705.60
  5. Step 5: Solve for x
    x = 149,085,705.60/13,799.68
  6. Step 6: Final answer
    x = 10,803.56

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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.