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Finding the Fourth Proportional to 23,811.96, 35,714.88 and 6,283.20

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Solution

The fourth proportional to 23,811.96, 35,714.88 and 6,283.20 is: 9,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.96 : 35,714.88 = 6,283.20 : x
  2. Step 2: Convert to fraction form
    23,811.96/35,714.88 = 6,283.20/x
  3. Step 3: Cross multiply
    23,811.96x = 35,714.88 × 6,283.20
  4. Step 4: Simplify right side
    23,811.96x = 224,403,734.02
  5. Step 5: Solve for x
    x = 224,403,734.02/23,811.96
  6. Step 6: Final answer
    x = 9,423.99

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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.