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Finding the Fourth Proportional to 22,693.64, 31,317.96 and 13,742.84

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Solution

The fourth proportional to 22,693.64, 31,317.96 and 13,742.84 is: 18,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693.64 : 31,317.96 = 13,742.84 : x
  2. Step 2: Convert to fraction form
    22,693.64/31,317.96 = 13,742.84/x
  3. Step 3: Cross multiply
    22,693.64x = 31,317.96 × 13,742.84
  4. Step 4: Simplify right side
    22,693.64x = 430,397,713.41
  5. Step 5: Solve for x
    x = 430,397,713.41/22,693.64
  6. Step 6: Final answer
    x = 18,965.57

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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.