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Finding the Fourth Proportional to 16,464.08, 24,700.17 and 4,777.14

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Solution

The fourth proportional to 16,464.08, 24,700.17 and 4,777.14 is: 7,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.08 : 24,700.17 = 4,777.14 : x
  2. Step 2: Convert to fraction form
    16,464.08/24,700.17 = 4,777.14/x
  3. Step 3: Cross multiply
    16,464.08x = 24,700.17 × 4,777.14
  4. Step 4: Simplify right side
    16,464.08x = 117,996,170.11
  5. Step 5: Solve for x
    x = 117,996,170.11/16,464.08
  6. Step 6: Final answer
    x = 7,166.89

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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.