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Finding the Fourth Proportional to 14,811.60, 20,440.30 and 8,097.64

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Solution

The fourth proportional to 14,811.60, 20,440.30 and 8,097.64 is: 11,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.60 : 20,440.30 = 8,097.64 : x
  2. Step 2: Convert to fraction form
    14,811.60/20,440.30 = 8,097.64/x
  3. Step 3: Cross multiply
    14,811.60x = 20,440.30 × 8,097.64
  4. Step 4: Simplify right side
    14,811.60x = 165,518,190.89
  5. Step 5: Solve for x
    x = 165,518,190.89/14,811.60
  6. Step 6: Final answer
    x = 11,174.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.