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Finding the Fourth Proportional to 30,638.13, 45,957.21 and 9,861.63

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Solution

The fourth proportional to 30,638.13, 45,957.21 and 9,861.63 is: 14,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.13 : 45,957.21 = 9,861.63 : x
  2. Step 2: Convert to fraction form
    30,638.13/45,957.21 = 9,861.63/x
  3. Step 3: Cross multiply
    30,638.13x = 45,957.21 × 9,861.63
  4. Step 4: Simplify right side
    30,638.13x = 453,213,000.85
  5. Step 5: Solve for x
    x = 453,213,000.85/30,638.13
  6. Step 6: Final answer
    x = 14,792.45

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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.