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Finding the Fourth Proportional to 21,773.61, 30,046.51 and 12,212.30

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Solution

The fourth proportional to 21,773.61, 30,046.51 and 12,212.30 is: 16,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773.61 : 30,046.51 = 12,212.30 : x
  2. Step 2: Convert to fraction form
    21,773.61/30,046.51 = 12,212.30/x
  3. Step 3: Cross multiply
    21,773.61x = 30,046.51 × 12,212.30
  4. Step 4: Simplify right side
    21,773.61x = 366,937,084.45
  5. Step 5: Solve for x
    x = 366,937,084.45/21,773.61
  6. Step 6: Final answer
    x = 16,852.38

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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.