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Finding the Fourth Proportional to 22,675.50, 31,297.14 and 12,607.38

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Solution

The fourth proportional to 22,675.50, 31,297.14 and 12,607.38 is: 17,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.50 : 31,297.14 = 12,607.38 : x
  2. Step 2: Convert to fraction form
    22,675.50/31,297.14 = 12,607.38/x
  3. Step 3: Cross multiply
    22,675.50x = 31,297.14 × 12,607.38
  4. Step 4: Simplify right side
    22,675.50x = 394,574,936.89
  5. Step 5: Solve for x
    x = 394,574,936.89/22,675.50
  6. Step 6: Final answer
    x = 17,400.94

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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.