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Finding the Fourth Proportional to 12,294.78, 18,443.34 and 4,897.56

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Solution

The fourth proportional to 12,294.78, 18,443.34 and 4,897.56 is: 7,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.78 : 18,443.34 = 4,897.56 : x
  2. Step 2: Convert to fraction form
    12,294.78/18,443.34 = 4,897.56/x
  3. Step 3: Cross multiply
    12,294.78x = 18,443.34 × 4,897.56
  4. Step 4: Simplify right side
    12,294.78x = 90,327,364.25
  5. Step 5: Solve for x
    x = 90,327,364.25/12,294.78
  6. Step 6: Final answer
    x = 7,346.81

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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.