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Finding the Fourth Proportional to 13,888.46, 19,166 and 7,600.82

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Solution

The fourth proportional to 13,888.46, 19,166 and 7,600.82 is: 10,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.46 : 19,166 = 7,600.82 : x
  2. Step 2: Convert to fraction form
    13,888.46/19,166 = 7,600.82/x
  3. Step 3: Cross multiply
    13,888.46x = 19,166 × 7,600.82
  4. Step 4: Simplify right side
    13,888.46x = 145,677,316.12
  5. Step 5: Solve for x
    x = 145,677,316.12/13,888.46
  6. Step 6: Final answer
    x = 10,489.09

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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.