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Finding the Fourth Proportional to 18,977.60, 28,466.74 and 5,830.09

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Solution

The fourth proportional to 18,977.60, 28,466.74 and 5,830.09 is: 8,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977.60 : 28,466.74 = 5,830.09 : x
  2. Step 2: Convert to fraction form
    18,977.60/28,466.74 = 5,830.09/x
  3. Step 3: Cross multiply
    18,977.60x = 28,466.74 × 5,830.09
  4. Step 4: Simplify right side
    18,977.60x = 165,963,570.46
  5. Step 5: Solve for x
    x = 165,963,570.46/18,977.60
  6. Step 6: Final answer
    x = 8,745.23

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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.