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Finding the Fourth Proportional to 27,782.96, 38,300.63 and 19,811.36

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Solution

The fourth proportional to 27,782.96, 38,300.63 and 19,811.36 is: 27,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.96 : 38,300.63 = 19,811.36 : x
  2. Step 2: Convert to fraction form
    27,782.96/38,300.63 = 19,811.36/x
  3. Step 3: Cross multiply
    27,782.96x = 38,300.63 × 19,811.36
  4. Step 4: Simplify right side
    27,782.96x = 758,787,569.16
  5. Step 5: Solve for x
    x = 758,787,569.16/27,782.96
  6. Step 6: Final answer
    x = 27,311.26

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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.