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Finding the Fourth Proportional to 22,654.01, 31,265.00 and 13,706.45

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Solution

The fourth proportional to 22,654.01, 31,265.00 and 13,706.45 is: 18,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.01 : 31,265.00 = 13,706.45 : x
  2. Step 2: Convert to fraction form
    22,654.01/31,265.00 = 13,706.45/x
  3. Step 3: Cross multiply
    22,654.01x = 31,265.00 × 13,706.45
  4. Step 4: Simplify right side
    22,654.01x = 428,531,934.39
  5. Step 5: Solve for x
    x = 428,531,934.39/22,654.01
  6. Step 6: Final answer
    x = 18,916.39

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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.