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Finding the Fourth Proportional to 13,662.54, 20,498.79 and 5,767.02

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Solution

The fourth proportional to 13,662.54, 20,498.79 and 5,767.02 is: 8,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.54 : 20,498.79 = 5,767.02 : x
  2. Step 2: Convert to fraction form
    13,662.54/20,498.79 = 5,767.02/x
  3. Step 3: Cross multiply
    13,662.54x = 20,498.79 × 5,767.02
  4. Step 4: Simplify right side
    13,662.54x = 118,216,931.91
  5. Step 5: Solve for x
    x = 118,216,931.91/13,662.54
  6. Step 6: Final answer
    x = 8,652.63

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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.