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Finding the Fourth Proportional to 30,839.99, 42,556.80 and 17,412.57

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Solution

The fourth proportional to 30,839.99, 42,556.80 and 17,412.57 is: 24,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.99 : 42,556.80 = 17,412.57 : x
  2. Step 2: Convert to fraction form
    30,839.99/42,556.80 = 17,412.57/x
  3. Step 3: Cross multiply
    30,839.99x = 42,556.80 × 17,412.57
  4. Step 4: Simplify right side
    30,839.99x = 741,023,275.30
  5. Step 5: Solve for x
    x = 741,023,275.30/30,839.99
  6. Step 6: Final answer
    x = 24,028.00

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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.