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Finding the Fourth Proportional to 16,097.64, 24,146.48 and 4,410.96

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Solution

The fourth proportional to 16,097.64, 24,146.48 and 4,410.96 is: 6,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.64 : 24,146.48 = 4,410.96 : x
  2. Step 2: Convert to fraction form
    16,097.64/24,146.48 = 4,410.96/x
  3. Step 3: Cross multiply
    16,097.64x = 24,146.48 × 4,410.96
  4. Step 4: Simplify right side
    16,097.64x = 106,509,157.42
  5. Step 5: Solve for x
    x = 106,509,157.42/16,097.64
  6. Step 6: Final answer
    x = 6,616.45

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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.