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Finding the Fourth Proportional to 27,420.60, 41,152.74 and 9,902.64

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Solution

The fourth proportional to 27,420.60, 41,152.74 and 9,902.64 is: 14,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.60 : 41,152.74 = 9,902.64 : x
  2. Step 2: Convert to fraction form
    27,420.60/41,152.74 = 9,902.64/x
  3. Step 3: Cross multiply
    27,420.60x = 41,152.74 × 9,902.64
  4. Step 4: Simplify right side
    27,420.60x = 407,520,769.23
  5. Step 5: Solve for x
    x = 407,520,769.23/27,420.60
  6. Step 6: Final answer
    x = 14,861.85

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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.