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Finding the Fourth Proportional to 30,272.53, 45,410.50 and 9,213.26

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Solution

The fourth proportional to 30,272.53, 45,410.50 and 9,213.26 is: 13,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.53 : 45,410.50 = 9,213.26 : x
  2. Step 2: Convert to fraction form
    30,272.53/45,410.50 = 9,213.26/x
  3. Step 3: Cross multiply
    30,272.53x = 45,410.50 × 9,213.26
  4. Step 4: Simplify right side
    30,272.53x = 418,378,470.11
  5. Step 5: Solve for x
    x = 418,378,470.11/30,272.53
  6. Step 6: Final answer
    x = 13,820.40

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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.