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Finding the Fourth Proportional to 22,957.26, 34,403.03 and 13,076.13

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Solution

The fourth proportional to 22,957.26, 34,403.03 and 13,076.13 is: 19,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.26 : 34,403.03 = 13,076.13 : x
  2. Step 2: Convert to fraction form
    22,957.26/34,403.03 = 13,076.13/x
  3. Step 3: Cross multiply
    22,957.26x = 34,403.03 × 13,076.13
  4. Step 4: Simplify right side
    22,957.26x = 449,858,605.34
  5. Step 5: Solve for x
    x = 449,858,605.34/22,957.26
  6. Step 6: Final answer
    x = 19,595.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.