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Finding the Fourth Proportional to 13,481, 18,603.78 and 7,892

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Solution

The fourth proportional to 13,481, 18,603.78 and 7,892 is: 10,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481 : 18,603.78 = 7,892 : x
  2. Step 2: Convert to fraction form
    13,481/18,603.78 = 7,892/x
  3. Step 3: Cross multiply
    13,481x = 18,603.78 × 7,892
  4. Step 4: Simplify right side
    13,481x = 146,821,031.76
  5. Step 5: Solve for x
    x = 146,821,031.76/13,481
  6. Step 6: Final answer
    x = 10,890.96

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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.