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Finding the Fourth Proportional to 30,142.55, 41,597.07 and 16,713.97

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Solution

The fourth proportional to 30,142.55, 41,597.07 and 16,713.97 is: 23,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.55 : 41,597.07 = 16,713.97 : x
  2. Step 2: Convert to fraction form
    30,142.55/41,597.07 = 16,713.97/x
  3. Step 3: Cross multiply
    30,142.55x = 41,597.07 × 16,713.97
  4. Step 4: Simplify right side
    30,142.55x = 695,252,180.07
  5. Step 5: Solve for x
    x = 695,252,180.07/30,142.55
  6. Step 6: Final answer
    x = 23,065.47

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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.