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Finding the Fourth Proportional to 13,762.74, 20,637.12 and 5,862.20

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Solution

The fourth proportional to 13,762.74, 20,637.12 and 5,862.20 is: 8,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.74 : 20,637.12 = 5,862.20 : x
  2. Step 2: Convert to fraction form
    13,762.74/20,637.12 = 5,862.20/x
  3. Step 3: Cross multiply
    13,762.74x = 20,637.12 × 5,862.20
  4. Step 4: Simplify right side
    13,762.74x = 120,978,924.86
  5. Step 5: Solve for x
    x = 120,978,924.86/13,762.74
  6. Step 6: Final answer
    x = 8,790.32

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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.