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Finding the Fourth Proportional to 31,298.71, 43,191.93 and 16,958.20

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Solution

The fourth proportional to 31,298.71, 43,191.93 and 16,958.20 is: 23,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.71 : 43,191.93 = 16,958.20 : x
  2. Step 2: Convert to fraction form
    31,298.71/43,191.93 = 16,958.20/x
  3. Step 3: Cross multiply
    31,298.71x = 43,191.93 × 16,958.20
  4. Step 4: Simplify right side
    31,298.71x = 732,457,387.33
  5. Step 5: Solve for x
    x = 732,457,387.33/31,298.71
  6. Step 6: Final answer
    x = 23,402.16

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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.