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Finding the Fourth Proportional to 12,874.40, 19,297.20 and 5,477.60

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Solution

The fourth proportional to 12,874.40, 19,297.20 and 5,477.60 is: 8,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.40 : 19,297.20 = 5,477.60 : x
  2. Step 2: Convert to fraction form
    12,874.40/19,297.20 = 5,477.60/x
  3. Step 3: Cross multiply
    12,874.40x = 19,297.20 × 5,477.60
  4. Step 4: Simplify right side
    12,874.40x = 105,702,342.72
  5. Step 5: Solve for x
    x = 105,702,342.72/12,874.40
  6. Step 6: Final answer
    x = 8,210.27

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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.