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Finding the Fourth Proportional to 14,101.60, 21,153.84 and 3,714.16

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Solution

The fourth proportional to 14,101.60, 21,153.84 and 3,714.16 is: 5,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.60 : 21,153.84 = 3,714.16 : x
  2. Step 2: Convert to fraction form
    14,101.60/21,153.84 = 3,714.16/x
  3. Step 3: Cross multiply
    14,101.60x = 21,153.84 × 3,714.16
  4. Step 4: Simplify right side
    14,101.60x = 78,568,746.37
  5. Step 5: Solve for x
    x = 78,568,746.37/14,101.60
  6. Step 6: Final answer
    x = 5,571.62

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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.