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Finding the Fourth Proportional to 23,002.26, 31,744.26 and 14,048.31

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Solution

The fourth proportional to 23,002.26, 31,744.26 and 14,048.31 is: 19,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.26 : 31,744.26 = 14,048.31 : x
  2. Step 2: Convert to fraction form
    23,002.26/31,744.26 = 14,048.31/x
  3. Step 3: Cross multiply
    23,002.26x = 31,744.26 × 14,048.31
  4. Step 4: Simplify right side
    23,002.26x = 445,953,205.20
  5. Step 5: Solve for x
    x = 445,953,205.20/23,002.26
  6. Step 6: Final answer
    x = 19,387.36

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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.