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Finding the Fourth Proportional to 12,847.54, 19,271.36 and 3,613.54

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Solution

The fourth proportional to 12,847.54, 19,271.36 and 3,613.54 is: 5,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.54 : 19,271.36 = 3,613.54 : x
  2. Step 2: Convert to fraction form
    12,847.54/19,271.36 = 3,613.54/x
  3. Step 3: Cross multiply
    12,847.54x = 19,271.36 × 3,613.54
  4. Step 4: Simplify right side
    12,847.54x = 69,637,830.21
  5. Step 5: Solve for x
    x = 69,637,830.21/12,847.54
  6. Step 6: Final answer
    x = 5,420.32

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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.