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Finding the Fourth Proportional to 30,002.60, 44,990.94 and 9,221.24

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Solution

The fourth proportional to 30,002.60, 44,990.94 and 9,221.24 is: 13,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.60 : 44,990.94 = 9,221.24 : x
  2. Step 2: Convert to fraction form
    30,002.60/44,990.94 = 9,221.24/x
  3. Step 3: Cross multiply
    30,002.60x = 44,990.94 × 9,221.24
  4. Step 4: Simplify right side
    30,002.60x = 414,872,255.57
  5. Step 5: Solve for x
    x = 414,872,255.57/30,002.60
  6. Step 6: Final answer
    x = 13,827.88

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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.