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Finding the Fourth Proportional to 30,938.69, 42,695.57 and 17,509.97

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Solution

The fourth proportional to 30,938.69, 42,695.57 and 17,509.97 is: 24,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.69 : 42,695.57 = 17,509.97 : x
  2. Step 2: Convert to fraction form
    30,938.69/42,695.57 = 17,509.97/x
  3. Step 3: Cross multiply
    30,938.69x = 42,695.57 × 17,509.97
  4. Step 4: Simplify right side
    30,938.69x = 747,598,149.83
  5. Step 5: Solve for x
    x = 747,598,149.83/30,938.69
  6. Step 6: Final answer
    x = 24,163.86

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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.