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Finding the Fourth Proportional to 19,770.30, 29,650.77 and 5,726.61

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Solution

The fourth proportional to 19,770.30, 29,650.77 and 5,726.61 is: 8,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.30 : 29,650.77 = 5,726.61 : x
  2. Step 2: Convert to fraction form
    19,770.30/29,650.77 = 5,726.61/x
  3. Step 3: Cross multiply
    19,770.30x = 29,650.77 × 5,726.61
  4. Step 4: Simplify right side
    19,770.30x = 169,798,395.99
  5. Step 5: Solve for x
    x = 169,798,395.99/19,770.30
  6. Step 6: Final answer
    x = 8,588.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.