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Finding the Fourth Proportional to 20,577.64, 30,861.60 and 9,477.40

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Solution

The fourth proportional to 20,577.64, 30,861.60 and 9,477.40 is: 14,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.64 : 30,861.60 = 9,477.40 : x
  2. Step 2: Convert to fraction form
    20,577.64/30,861.60 = 9,477.40/x
  3. Step 3: Cross multiply
    20,577.64x = 30,861.60 × 9,477.40
  4. Step 4: Simplify right side
    20,577.64x = 292,487,727.84
  5. Step 5: Solve for x
    x = 292,487,727.84/20,577.64
  6. Step 6: Final answer
    x = 14,213.86

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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.