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Finding the Fourth Proportional to 27,771.98, 38,322.86 and 16,441.83

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Solution

The fourth proportional to 27,771.98, 38,322.86 and 16,441.83 is: 22,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.98 : 38,322.86 = 16,441.83 : x
  2. Step 2: Convert to fraction form
    27,771.98/38,322.86 = 16,441.83/x
  3. Step 3: Cross multiply
    27,771.98x = 38,322.86 × 16,441.83
  4. Step 4: Simplify right side
    27,771.98x = 630,097,867.02
  5. Step 5: Solve for x
    x = 630,097,867.02/27,771.98
  6. Step 6: Final answer
    x = 22,688.26

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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.