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Finding the Fourth Proportional to 31,397.81, 43,328.85 and 17,969

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Solution

The fourth proportional to 31,397.81, 43,328.85 and 17,969 is: 24,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.81 : 43,328.85 = 17,969 : x
  2. Step 2: Convert to fraction form
    31,397.81/43,328.85 = 17,969/x
  3. Step 3: Cross multiply
    31,397.81x = 43,328.85 × 17,969
  4. Step 4: Simplify right side
    31,397.81x = 778,576,105.65
  5. Step 5: Solve for x
    x = 778,576,105.65/31,397.81
  6. Step 6: Final answer
    x = 24,797.15

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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.