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Finding the Fourth Proportional to 12,897.45, 19,346.27 and 12,267.87

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Solution

The fourth proportional to 12,897.45, 19,346.27 and 12,267.87 is: 18,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.45 : 19,346.27 = 12,267.87 : x
  2. Step 2: Convert to fraction form
    12,897.45/19,346.27 = 12,267.87/x
  3. Step 3: Cross multiply
    12,897.45x = 19,346.27 × 12,267.87
  4. Step 4: Simplify right side
    12,897.45x = 237,337,464.01
  5. Step 5: Solve for x
    x = 237,337,464.01/12,897.45
  6. Step 6: Final answer
    x = 18,401.89

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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.