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Finding the Fourth Proportional to 12,897.37, 19,346.05 and 8,513.80

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Solution

The fourth proportional to 12,897.37, 19,346.05 and 8,513.80 is: 12,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.37 : 19,346.05 = 8,513.80 : x
  2. Step 2: Convert to fraction form
    12,897.37/19,346.05 = 8,513.80/x
  3. Step 3: Cross multiply
    12,897.37x = 19,346.05 × 8,513.80
  4. Step 4: Simplify right side
    12,897.37x = 164,708,429.15
  5. Step 5: Solve for x
    x = 164,708,429.15/12,897.37
  6. Step 6: Final answer
    x = 12,770.70

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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.