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Finding the Fourth Proportional to 16,579.36, 24,856.62 and 10,004

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Solution

The fourth proportional to 16,579.36, 24,856.62 and 10,004 is: 14,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,579.36 : 24,856.62 = 10,004 : x
  2. Step 2: Convert to fraction form
    16,579.36/24,856.62 = 10,004/x
  3. Step 3: Cross multiply
    16,579.36x = 24,856.62 × 10,004
  4. Step 4: Simplify right side
    16,579.36x = 248,665,626.48
  5. Step 5: Solve for x
    x = 248,665,626.48/16,579.36
  6. Step 6: Final answer
    x = 14,998.51

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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.