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Finding the Fourth Proportional to 22,464.33, 31,000.08 and 12,392.38

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Solution

The fourth proportional to 22,464.33, 31,000.08 and 12,392.38 is: 17,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.33 : 31,000.08 = 12,392.38 : x
  2. Step 2: Convert to fraction form
    22,464.33/31,000.08 = 12,392.38/x
  3. Step 3: Cross multiply
    22,464.33x = 31,000.08 × 12,392.38
  4. Step 4: Simplify right side
    22,464.33x = 384,164,771.39
  5. Step 5: Solve for x
    x = 384,164,771.39/22,464.33
  6. Step 6: Final answer
    x = 17,101.10

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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.