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Finding the Fourth Proportional to 18,557.94, 27,830.97 and 6,074.58

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Solution

The fourth proportional to 18,557.94, 27,830.97 and 6,074.58 is: 9,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.94 : 27,830.97 = 6,074.58 : x
  2. Step 2: Convert to fraction form
    18,557.94/27,830.97 = 6,074.58/x
  3. Step 3: Cross multiply
    18,557.94x = 27,830.97 × 6,074.58
  4. Step 4: Simplify right side
    18,557.94x = 169,061,453.74
  5. Step 5: Solve for x
    x = 169,061,453.74/18,557.94
  6. Step 6: Final answer
    x = 9,109.93

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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.