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Finding the Fourth Proportional to 16,616.64, 24,924.78 and 9,607.20

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Solution

The fourth proportional to 16,616.64, 24,924.78 and 9,607.20 is: 14,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.64 : 24,924.78 = 9,607.20 : x
  2. Step 2: Convert to fraction form
    16,616.64/24,924.78 = 9,607.20/x
  3. Step 3: Cross multiply
    16,616.64x = 24,924.78 × 9,607.20
  4. Step 4: Simplify right side
    16,616.64x = 239,457,346.42
  5. Step 5: Solve for x
    x = 239,457,346.42/16,616.64
  6. Step 6: Final answer
    x = 14,410.70

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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.