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Finding the Fourth Proportional to 31,430.16, 43,361.22 and 17,994.15

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Solution

The fourth proportional to 31,430.16, 43,361.22 and 17,994.15 is: 24,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.16 : 43,361.22 = 17,994.15 : x
  2. Step 2: Convert to fraction form
    31,430.16/43,361.22 = 17,994.15/x
  3. Step 3: Cross multiply
    31,430.16x = 43,361.22 × 17,994.15
  4. Step 4: Simplify right side
    31,430.16x = 780,248,296.86
  5. Step 5: Solve for x
    x = 780,248,296.86/31,430.16
  6. Step 6: Final answer
    x = 24,824.83

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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.