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Finding the Fourth Proportional to 22,037, 30,411.30 and 12,101

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Solution

The fourth proportional to 22,037, 30,411.30 and 12,101 is: 16,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037 : 30,411.30 = 12,101 : x
  2. Step 2: Convert to fraction form
    22,037/30,411.30 = 12,101/x
  3. Step 3: Cross multiply
    22,037x = 30,411.30 × 12,101
  4. Step 4: Simplify right side
    22,037x = 368,007,141.30
  5. Step 5: Solve for x
    x = 368,007,141.30/22,037
  6. Step 6: Final answer
    x = 16,699.51

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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.