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Finding the Fourth Proportional to 12,897.35, 19,346.03 and 8,513.78

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Solution

The fourth proportional to 12,897.35, 19,346.03 and 8,513.78 is: 12,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.35 : 19,346.03 = 8,513.78 : x
  2. Step 2: Convert to fraction form
    12,897.35/19,346.03 = 8,513.78/x
  3. Step 3: Cross multiply
    12,897.35x = 19,346.03 × 8,513.78
  4. Step 4: Simplify right side
    12,897.35x = 164,707,843.29
  5. Step 5: Solve for x
    x = 164,707,843.29/12,897.35
  6. Step 6: Final answer
    x = 12,770.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.