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Finding the Fourth Proportional to 13,857.99, 19,122.96 and 7,888.46

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Solution

The fourth proportional to 13,857.99, 19,122.96 and 7,888.46 is: 10,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.99 : 19,122.96 = 7,888.46 : x
  2. Step 2: Convert to fraction form
    13,857.99/19,122.96 = 7,888.46/x
  3. Step 3: Cross multiply
    13,857.99x = 19,122.96 × 7,888.46
  4. Step 4: Simplify right side
    13,857.99x = 150,850,778.17
  5. Step 5: Solve for x
    x = 150,850,778.17/13,857.99
  6. Step 6: Final answer
    x = 10,885.48

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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.