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Finding the Fourth Proportional to 20,953.60, 31,440.64 and 9,861.40

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Solution

The fourth proportional to 20,953.60, 31,440.64 and 9,861.40 is: 14,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.60 : 31,440.64 = 9,861.40 : x
  2. Step 2: Convert to fraction form
    20,953.60/31,440.64 = 9,861.40/x
  3. Step 3: Cross multiply
    20,953.60x = 31,440.64 × 9,861.40
  4. Step 4: Simplify right side
    20,953.60x = 310,048,727.30
  5. Step 5: Solve for x
    x = 310,048,727.30/20,953.60
  6. Step 6: Final answer
    x = 14,796.92

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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.