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Finding the Fourth Proportional to 30,736.84, 42,417.90 and 17,991.21

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Solution

The fourth proportional to 30,736.84, 42,417.90 and 17,991.21 is: 24,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.84 : 42,417.90 = 17,991.21 : x
  2. Step 2: Convert to fraction form
    30,736.84/42,417.90 = 17,991.21/x
  3. Step 3: Cross multiply
    30,736.84x = 42,417.90 × 17,991.21
  4. Step 4: Simplify right side
    30,736.84x = 763,149,556.33
  5. Step 5: Solve for x
    x = 763,149,556.33/30,736.84
  6. Step 6: Final answer
    x = 24,828.50

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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.