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Finding the Fourth Proportional to 22,464.38, 31,002.42 and 12,905.82

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Solution

The fourth proportional to 22,464.38, 31,002.42 and 12,905.82 is: 17,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.38 : 31,002.42 = 12,905.82 : x
  2. Step 2: Convert to fraction form
    22,464.38/31,002.42 = 12,905.82/x
  3. Step 3: Cross multiply
    22,464.38x = 31,002.42 × 12,905.82
  4. Step 4: Simplify right side
    22,464.38x = 400,111,652.08
  5. Step 5: Solve for x
    x = 400,111,652.08/22,464.38
  6. Step 6: Final answer
    x = 17,810.94

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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.