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Finding the Fourth Proportional to 12,386.19, 18,581.22 and 4,064.31

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Solution

The fourth proportional to 12,386.19, 18,581.22 and 4,064.31 is: 6,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.19 : 18,581.22 = 4,064.31 : x
  2. Step 2: Convert to fraction form
    12,386.19/18,581.22 = 4,064.31/x
  3. Step 3: Cross multiply
    12,386.19x = 18,581.22 × 4,064.31
  4. Step 4: Simplify right side
    12,386.19x = 75,519,846.24
  5. Step 5: Solve for x
    x = 75,519,846.24/12,386.19
  6. Step 6: Final answer
    x = 6,097.10

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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.