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Finding the Fourth Proportional to 22,103.74, 30,504 and 12,032.74

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Solution

The fourth proportional to 22,103.74, 30,504 and 12,032.74 is: 16,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.74 : 30,504 = 12,032.74 : x
  2. Step 2: Convert to fraction form
    22,103.74/30,504 = 12,032.74/x
  3. Step 3: Cross multiply
    22,103.74x = 30,504 × 12,032.74
  4. Step 4: Simplify right side
    22,103.74x = 367,046,700.96
  5. Step 5: Solve for x
    x = 367,046,700.96/22,103.74
  6. Step 6: Final answer
    x = 16,605.64

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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.