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Finding the Fourth Proportional to 22,755.56, 31,401.14 and 14,257.44

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Solution

The fourth proportional to 22,755.56, 31,401.14 and 14,257.44 is: 19,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.56 : 31,401.14 = 14,257.44 : x
  2. Step 2: Convert to fraction form
    22,755.56/31,401.14 = 14,257.44/x
  3. Step 3: Cross multiply
    22,755.56x = 31,401.14 × 14,257.44
  4. Step 4: Simplify right side
    22,755.56x = 447,699,798.19
  5. Step 5: Solve for x
    x = 447,699,798.19/22,755.56
  6. Step 6: Final answer
    x = 19,674.31

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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.