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Finding the Fourth Proportional to 12,820.22, 19,246.94 and 12,293.72

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Solution

The fourth proportional to 12,820.22, 19,246.94 and 12,293.72 is: 18,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.22 : 19,246.94 = 12,293.72 : x
  2. Step 2: Convert to fraction form
    12,820.22/19,246.94 = 12,293.72/x
  3. Step 3: Cross multiply
    12,820.22x = 19,246.94 × 12,293.72
  4. Step 4: Simplify right side
    12,820.22x = 236,616,491.22
  5. Step 5: Solve for x
    x = 236,616,491.22/12,820.22
  6. Step 6: Final answer
    x = 18,456.51

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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.