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Finding the Fourth Proportional to 13,781.88, 19,019.40 and 7,813.38

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Solution

The fourth proportional to 13,781.88, 19,019.40 and 7,813.38 is: 10,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.88 : 19,019.40 = 7,813.38 : x
  2. Step 2: Convert to fraction form
    13,781.88/19,019.40 = 7,813.38/x
  3. Step 3: Cross multiply
    13,781.88x = 19,019.40 × 7,813.38
  4. Step 4: Simplify right side
    13,781.88x = 148,605,799.57
  5. Step 5: Solve for x
    x = 148,605,799.57/13,781.88
  6. Step 6: Final answer
    x = 10,782.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.