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Finding the Fourth Proportional to 14,796.05, 20,417.72 and 8,424.20

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Solution

The fourth proportional to 14,796.05, 20,417.72 and 8,424.20 is: 11,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.05 : 20,417.72 = 8,424.20 : x
  2. Step 2: Convert to fraction form
    14,796.05/20,417.72 = 8,424.20/x
  3. Step 3: Cross multiply
    14,796.05x = 20,417.72 × 8,424.20
  4. Step 4: Simplify right side
    14,796.05x = 172,002,956.82
  5. Step 5: Solve for x
    x = 172,002,956.82/14,796.05
  6. Step 6: Final answer
    x = 11,624.92

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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.