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Finding the Fourth Proportional to 30,284.84, 41,793.30 and 16,856.66

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Solution

The fourth proportional to 30,284.84, 41,793.30 and 16,856.66 is: 23,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.84 : 41,793.30 = 16,856.66 : x
  2. Step 2: Convert to fraction form
    30,284.84/41,793.30 = 16,856.66/x
  3. Step 3: Cross multiply
    30,284.84x = 41,793.30 × 16,856.66
  4. Step 4: Simplify right side
    30,284.84x = 704,495,448.38
  5. Step 5: Solve for x
    x = 704,495,448.38/30,284.84
  6. Step 6: Final answer
    x = 23,262.31

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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.