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Finding the Fourth Proportional to 30,897.72, 42,641.24 and 17,469.25

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Solution

The fourth proportional to 30,897.72, 42,641.24 and 17,469.25 is: 24,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.72 : 42,641.24 = 17,469.25 : x
  2. Step 2: Convert to fraction form
    30,897.72/42,641.24 = 17,469.25/x
  3. Step 3: Cross multiply
    30,897.72x = 42,641.24 × 17,469.25
  4. Step 4: Simplify right side
    30,897.72x = 744,910,287.92
  5. Step 5: Solve for x
    x = 744,910,287.92/30,897.72
  6. Step 6: Final answer
    x = 24,108.91

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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.