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Finding the Fourth Proportional to 23,817.60, 35,714.88 and 13,960.08

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Solution

The fourth proportional to 23,817.60, 35,714.88 and 13,960.08 is: 20,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.60 : 35,714.88 = 13,960.08 : x
  2. Step 2: Convert to fraction form
    23,817.60/35,714.88 = 13,960.08/x
  3. Step 3: Cross multiply
    23,817.60x = 35,714.88 × 13,960.08
  4. Step 4: Simplify right side
    23,817.60x = 498,582,581.99
  5. Step 5: Solve for x
    x = 498,582,581.99/23,817.60
  6. Step 6: Final answer
    x = 20,933.37

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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.