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Finding the Fourth Proportional to 13,788.90, 19,029.42 and 7,822.49

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Solution

The fourth proportional to 13,788.90, 19,029.42 and 7,822.49 is: 10,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.90 : 19,029.42 = 7,822.49 : x
  2. Step 2: Convert to fraction form
    13,788.90/19,029.42 = 7,822.49/x
  3. Step 3: Cross multiply
    13,788.90x = 19,029.42 × 7,822.49
  4. Step 4: Simplify right side
    13,788.90x = 148,857,447.66
  5. Step 5: Solve for x
    x = 148,857,447.66/13,788.90
  6. Step 6: Final answer
    x = 10,795.45

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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.