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Finding the Fourth Proportional to 16,439.36, 22,659.64 and 12,848

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Solution

The fourth proportional to 16,439.36, 22,659.64 and 12,848 is: 17,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.36 : 22,659.64 = 12,848 : x
  2. Step 2: Convert to fraction form
    16,439.36/22,659.64 = 12,848/x
  3. Step 3: Cross multiply
    16,439.36x = 22,659.64 × 12,848
  4. Step 4: Simplify right side
    16,439.36x = 291,131,054.72
  5. Step 5: Solve for x
    x = 291,131,054.72/16,439.36
  6. Step 6: Final answer
    x = 17,709.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.