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Finding the Fourth Proportional to 23,044.57, 31,803.90 and 14,098.03

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Solution

The fourth proportional to 23,044.57, 31,803.90 and 14,098.03 is: 19,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044.57 : 31,803.90 = 14,098.03 : x
  2. Step 2: Convert to fraction form
    23,044.57/31,803.90 = 14,098.03/x
  3. Step 3: Cross multiply
    23,044.57x = 31,803.90 × 14,098.03
  4. Step 4: Simplify right side
    23,044.57x = 448,372,336.32
  5. Step 5: Solve for x
    x = 448,372,336.32/23,044.57
  6. Step 6: Final answer
    x = 19,456.75

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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.