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Finding the Fourth Proportional to 14,932.36, 20,606.34 and 8,217.64

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Solution

The fourth proportional to 14,932.36, 20,606.34 and 8,217.64 is: 11,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.36 : 20,606.34 = 8,217.64 : x
  2. Step 2: Convert to fraction form
    14,932.36/20,606.34 = 8,217.64/x
  3. Step 3: Cross multiply
    14,932.36x = 20,606.34 × 8,217.64
  4. Step 4: Simplify right side
    14,932.36x = 169,335,483.84
  5. Step 5: Solve for x
    x = 169,335,483.84/14,932.36
  6. Step 6: Final answer
    x = 11,340.17

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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.