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Finding the Fourth Proportional to 12,139.66, 18,205.44 and 4,742.20

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Solution

The fourth proportional to 12,139.66, 18,205.44 and 4,742.20 is: 7,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.66 : 18,205.44 = 4,742.20 : x
  2. Step 2: Convert to fraction form
    12,139.66/18,205.44 = 4,742.20/x
  3. Step 3: Cross multiply
    12,139.66x = 18,205.44 × 4,742.20
  4. Step 4: Simplify right side
    12,139.66x = 86,333,837.57
  5. Step 5: Solve for x
    x = 86,333,837.57/12,139.66
  6. Step 6: Final answer
    x = 7,111.72

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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.