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Finding the Fourth Proportional to 22,523.56, 31,085.23 and 14,138.44

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Solution

The fourth proportional to 22,523.56, 31,085.23 and 14,138.44 is: 19,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.56 : 31,085.23 = 14,138.44 : x
  2. Step 2: Convert to fraction form
    22,523.56/31,085.23 = 14,138.44/x
  3. Step 3: Cross multiply
    22,523.56x = 31,085.23 × 14,138.44
  4. Step 4: Simplify right side
    22,523.56x = 439,496,503.82
  5. Step 5: Solve for x
    x = 439,496,503.82/22,523.56
  6. Step 6: Final answer
    x = 19,512.75

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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.