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Finding the Fourth Proportional to 22,822.50, 31,495.75 and 12,751.38

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Solution

The fourth proportional to 22,822.50, 31,495.75 and 12,751.38 is: 17,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.50 : 31,495.75 = 12,751.38 : x
  2. Step 2: Convert to fraction form
    22,822.50/31,495.75 = 12,751.38/x
  3. Step 3: Cross multiply
    22,822.50x = 31,495.75 × 12,751.38
  4. Step 4: Simplify right side
    22,822.50x = 401,614,276.64
  5. Step 5: Solve for x
    x = 401,614,276.64/22,822.50
  6. Step 6: Final answer
    x = 17,597.30

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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.