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Finding the Fourth Proportional to 14,102.32, 21,154.52 and 3,714

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Solution

The fourth proportional to 14,102.32, 21,154.52 and 3,714 is: 5,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.32 : 21,154.52 = 3,714 : x
  2. Step 2: Convert to fraction form
    14,102.32/21,154.52 = 3,714/x
  3. Step 3: Cross multiply
    14,102.32x = 21,154.52 × 3,714
  4. Step 4: Simplify right side
    14,102.32x = 78,567,887.28
  5. Step 5: Solve for x
    x = 78,567,887.28/14,102.32
  6. Step 6: Final answer
    x = 5,571.27

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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.