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Finding the Fourth Proportional to 22,710.12, 31,340.10 and 12,774.12

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Solution

The fourth proportional to 22,710.12, 31,340.10 and 12,774.12 is: 17,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.12 : 31,340.10 = 12,774.12 : x
  2. Step 2: Convert to fraction form
    22,710.12/31,340.10 = 12,774.12/x
  3. Step 3: Cross multiply
    22,710.12x = 31,340.10 × 12,774.12
  4. Step 4: Simplify right side
    22,710.12x = 400,342,198.21
  5. Step 5: Solve for x
    x = 400,342,198.21/22,710.12
  6. Step 6: Final answer
    x = 17,628.36

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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.