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Finding the Fourth Proportional to 30,940.25, 42,708.63 and 18,365

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Solution

The fourth proportional to 30,940.25, 42,708.63 and 18,365 is: 25,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.25 : 42,708.63 = 18,365 : x
  2. Step 2: Convert to fraction form
    30,940.25/42,708.63 = 18,365/x
  3. Step 3: Cross multiply
    30,940.25x = 42,708.63 × 18,365
  4. Step 4: Simplify right side
    30,940.25x = 784,343,989.95
  5. Step 5: Solve for x
    x = 784,343,989.95/30,940.25
  6. Step 6: Final answer
    x = 25,350.28

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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.