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Finding the Fourth Proportional to 12,291.72, 18,436 and 3,970.87

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Solution

The fourth proportional to 12,291.72, 18,436 and 3,970.87 is: 5,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.72 : 18,436 = 3,970.87 : x
  2. Step 2: Convert to fraction form
    12,291.72/18,436 = 3,970.87/x
  3. Step 3: Cross multiply
    12,291.72x = 18,436 × 3,970.87
  4. Step 4: Simplify right side
    12,291.72x = 73,206,959.32
  5. Step 5: Solve for x
    x = 73,206,959.32/12,291.72
  6. Step 6: Final answer
    x = 5,955.79

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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.