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Finding the Fourth Proportional to 27,773.34, 38,327.67 and 19,829.07

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Solution

The fourth proportional to 27,773.34, 38,327.67 and 19,829.07 is: 27,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773.34 : 38,327.67 = 19,829.07 : x
  2. Step 2: Convert to fraction form
    27,773.34/38,327.67 = 19,829.07/x
  3. Step 3: Cross multiply
    27,773.34x = 38,327.67 × 19,829.07
  4. Step 4: Simplify right side
    27,773.34x = 760,002,051.37
  5. Step 5: Solve for x
    x = 760,002,051.37/27,773.34
  6. Step 6: Final answer
    x = 27,364.45

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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.