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Finding the Fourth Proportional to 30,825.88, 42,539.70 and 17,399.95

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Solution

The fourth proportional to 30,825.88, 42,539.70 and 17,399.95 is: 24,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.88 : 42,539.70 = 17,399.95 : x
  2. Step 2: Convert to fraction form
    30,825.88/42,539.70 = 17,399.95/x
  3. Step 3: Cross multiply
    30,825.88x = 42,539.70 × 17,399.95
  4. Step 4: Simplify right side
    30,825.88x = 740,188,653.02
  5. Step 5: Solve for x
    x = 740,188,653.02/30,825.88
  6. Step 6: Final answer
    x = 24,011.92

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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.