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Finding the Fourth Proportional to 16,530.64, 24,800.82 and 6,664.84

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Solution

The fourth proportional to 16,530.64, 24,800.82 and 6,664.84 is: 9,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.64 : 24,800.82 = 6,664.84 : x
  2. Step 2: Convert to fraction form
    16,530.64/24,800.82 = 6,664.84/x
  3. Step 3: Cross multiply
    16,530.64x = 24,800.82 × 6,664.84
  4. Step 4: Simplify right side
    16,530.64x = 165,293,497.17
  5. Step 5: Solve for x
    x = 165,293,497.17/16,530.64
  6. Step 6: Final answer
    x = 9,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.