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Finding the Fourth Proportional to 22,556.34, 31,127.49 and 12,484.80

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Solution

The fourth proportional to 22,556.34, 31,127.49 and 12,484.80 is: 17,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,556.34 : 31,127.49 = 12,484.80 : x
  2. Step 2: Convert to fraction form
    22,556.34/31,127.49 = 12,484.80/x
  3. Step 3: Cross multiply
    22,556.34x = 31,127.49 × 12,484.80
  4. Step 4: Simplify right side
    22,556.34x = 388,620,487.15
  5. Step 5: Solve for x
    x = 388,620,487.15/22,556.34
  6. Step 6: Final answer
    x = 17,228.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.