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Finding the Fourth Proportional to 22,994.25, 31,731.09 and 13,434.67

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Solution

The fourth proportional to 22,994.25, 31,731.09 and 13,434.67 is: 18,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.25 : 31,731.09 = 13,434.67 : x
  2. Step 2: Convert to fraction form
    22,994.25/31,731.09 = 13,434.67/x
  3. Step 3: Cross multiply
    22,994.25x = 31,731.09 × 13,434.67
  4. Step 4: Simplify right side
    22,994.25x = 426,296,832.37
  5. Step 5: Solve for x
    x = 426,296,832.37/22,994.25
  6. Step 6: Final answer
    x = 18,539.28

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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.