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Finding the Fourth Proportional to 30,214.22, 45,321.14 and 11,746.22

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Solution

The fourth proportional to 30,214.22, 45,321.14 and 11,746.22 is: 17,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.22 : 45,321.14 = 11,746.22 : x
  2. Step 2: Convert to fraction form
    30,214.22/45,321.14 = 11,746.22/x
  3. Step 3: Cross multiply
    30,214.22x = 45,321.14 × 11,746.22
  4. Step 4: Simplify right side
    30,214.22x = 532,351,883.85
  5. Step 5: Solve for x
    x = 532,351,883.85/30,214.22
  6. Step 6: Final answer
    x = 17,619.25

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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.