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Finding the Fourth Proportional to 38,567.97, 57,853.23 and 13,267.23

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Solution

The fourth proportional to 38,567.97, 57,853.23 and 13,267.23 is: 19,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,567.97 : 57,853.23 = 13,267.23 : x
  2. Step 2: Convert to fraction form
    38,567.97/57,853.23 = 13,267.23/x
  3. Step 3: Cross multiply
    38,567.97x = 57,853.23 × 13,267.23
  4. Step 4: Simplify right side
    38,567.97x = 767,552,108.65
  5. Step 5: Solve for x
    x = 767,552,108.65/38,567.97
  6. Step 6: Final answer
    x = 19,901.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.