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Finding the Fourth Proportional to 13,714.08, 20,571.04 and 4,480

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Solution

The fourth proportional to 13,714.08, 20,571.04 and 4,480 is: 6,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.08 : 20,571.04 = 4,480 : x
  2. Step 2: Convert to fraction form
    13,714.08/20,571.04 = 4,480/x
  3. Step 3: Cross multiply
    13,714.08x = 20,571.04 × 4,480
  4. Step 4: Simplify right side
    13,714.08x = 92,158,259.20
  5. Step 5: Solve for x
    x = 92,158,259.20/13,714.08
  6. Step 6: Final answer
    x = 6,719.97

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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.