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Finding the Fourth Proportional to 22,768.94, 31,421.28 and 12,698.02

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Solution

The fourth proportional to 22,768.94, 31,421.28 and 12,698.02 is: 17,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.94 : 31,421.28 = 12,698.02 : x
  2. Step 2: Convert to fraction form
    22,768.94/31,421.28 = 12,698.02/x
  3. Step 3: Cross multiply
    22,768.94x = 31,421.28 × 12,698.02
  4. Step 4: Simplify right side
    22,768.94x = 398,987,978.38
  5. Step 5: Solve for x
    x = 398,987,978.38/22,768.94
  6. Step 6: Final answer
    x = 17,523.34

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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.