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Finding the Fourth Proportional to 30,642.25, 42,286.46 and 17,214.07

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Solution

The fourth proportional to 30,642.25, 42,286.46 and 17,214.07 is: 23,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.25 : 42,286.46 = 17,214.07 : x
  2. Step 2: Convert to fraction form
    30,642.25/42,286.46 = 17,214.07/x
  3. Step 3: Cross multiply
    30,642.25x = 42,286.46 × 17,214.07
  4. Step 4: Simplify right side
    30,642.25x = 727,921,914.10
  5. Step 5: Solve for x
    x = 727,921,914.10/30,642.25
  6. Step 6: Final answer
    x = 23,755.50

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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.