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Finding the Fourth Proportional to 12,172.59, 18,261.63 and 3,853.10

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Solution

The fourth proportional to 12,172.59, 18,261.63 and 3,853.10 is: 5,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.59 : 18,261.63 = 3,853.10 : x
  2. Step 2: Convert to fraction form
    12,172.59/18,261.63 = 3,853.10/x
  3. Step 3: Cross multiply
    12,172.59x = 18,261.63 × 3,853.10
  4. Step 4: Simplify right side
    12,172.59x = 70,363,932.21
  5. Step 5: Solve for x
    x = 70,363,932.21/12,172.59
  6. Step 6: Final answer
    x = 5,780.52

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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.