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Finding the Fourth Proportional to 22,677.54, 31,270.59 and 14,176.56

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Solution

The fourth proportional to 22,677.54, 31,270.59 and 14,176.56 is: 19,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.54 : 31,270.59 = 14,176.56 : x
  2. Step 2: Convert to fraction form
    22,677.54/31,270.59 = 14,176.56/x
  3. Step 3: Cross multiply
    22,677.54x = 31,270.59 × 14,176.56
  4. Step 4: Simplify right side
    22,677.54x = 443,309,395.37
  5. Step 5: Solve for x
    x = 443,309,395.37/22,677.54
  6. Step 6: Final answer
    x = 19,548.39

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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.