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Finding the Fourth Proportional to 12,890.84, 17,770.34 and 10,055.03

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Solution

The fourth proportional to 12,890.84, 17,770.34 and 10,055.03 is: 13,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.84 : 17,770.34 = 10,055.03 : x
  2. Step 2: Convert to fraction form
    12,890.84/17,770.34 = 10,055.03/x
  3. Step 3: Cross multiply
    12,890.84x = 17,770.34 × 10,055.03
  4. Step 4: Simplify right side
    12,890.84x = 178,681,162.68
  5. Step 5: Solve for x
    x = 178,681,162.68/12,890.84
  6. Step 6: Final answer
    x = 13,861.10

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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.