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Finding the Fourth Proportional to 27,782.99, 41,622.13 and 13,726.55

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Solution

The fourth proportional to 27,782.99, 41,622.13 and 13,726.55 is: 20,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.99 : 41,622.13 = 13,726.55 : x
  2. Step 2: Convert to fraction form
    27,782.99/41,622.13 = 13,726.55/x
  3. Step 3: Cross multiply
    27,782.99x = 41,622.13 × 13,726.55
  4. Step 4: Simplify right side
    27,782.99x = 571,328,248.55
  5. Step 5: Solve for x
    x = 571,328,248.55/27,782.99
  6. Step 6: Final answer
    x = 20,563.96

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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.