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Finding the Fourth Proportional to 22,498.86, 31,040.90 and 14,551.14

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Solution

The fourth proportional to 22,498.86, 31,040.90 and 14,551.14 is: 20,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.86 : 31,040.90 = 14,551.14 : x
  2. Step 2: Convert to fraction form
    22,498.86/31,040.90 = 14,551.14/x
  3. Step 3: Cross multiply
    22,498.86x = 31,040.90 × 14,551.14
  4. Step 4: Simplify right side
    22,498.86x = 451,680,481.63
  5. Step 5: Solve for x
    x = 451,680,481.63/22,498.86
  6. Step 6: Final answer
    x = 20,075.71

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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.