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Finding the Fourth Proportional to 30,386.13, 45,575.74 and 8,198.20

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Solution

The fourth proportional to 30,386.13, 45,575.74 and 8,198.20 is: 12,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.13 : 45,575.74 = 8,198.20 : x
  2. Step 2: Convert to fraction form
    30,386.13/45,575.74 = 8,198.20/x
  3. Step 3: Cross multiply
    30,386.13x = 45,575.74 × 8,198.20
  4. Step 4: Simplify right side
    30,386.13x = 373,639,031.67
  5. Step 5: Solve for x
    x = 373,639,031.67/30,386.13
  6. Step 6: Final answer
    x = 12,296.37

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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.