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Finding the Fourth Proportional to 30,584.70, 42,208.57 and 17,160.22

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Solution

The fourth proportional to 30,584.70, 42,208.57 and 17,160.22 is: 23,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.70 : 42,208.57 = 17,160.22 : x
  2. Step 2: Convert to fraction form
    30,584.70/42,208.57 = 17,160.22/x
  3. Step 3: Cross multiply
    30,584.70x = 42,208.57 × 17,160.22
  4. Step 4: Simplify right side
    30,584.70x = 724,308,347.09
  5. Step 5: Solve for x
    x = 724,308,347.09/30,584.70
  6. Step 6: Final answer
    x = 23,682.05

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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.