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Finding the Fourth Proportional to 30,294.12, 45,441.22 and 9,517.62

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Solution

The fourth proportional to 30,294.12, 45,441.22 and 9,517.62 is: 14,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.12 : 45,441.22 = 9,517.62 : x
  2. Step 2: Convert to fraction form
    30,294.12/45,441.22 = 9,517.62/x
  3. Step 3: Cross multiply
    30,294.12x = 45,441.22 × 9,517.62
  4. Step 4: Simplify right side
    30,294.12x = 432,492,264.30
  5. Step 5: Solve for x
    x = 432,492,264.30/30,294.12
  6. Step 6: Final answer
    x = 14,276.44

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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.