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Finding the Fourth Proportional to 23,771.40, 35,657.10 and 14,440.20

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Solution

The fourth proportional to 23,771.40, 35,657.10 and 14,440.20 is: 21,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.40 : 35,657.10 = 14,440.20 : x
  2. Step 2: Convert to fraction form
    23,771.40/35,657.10 = 14,440.20/x
  3. Step 3: Cross multiply
    23,771.40x = 35,657.10 × 14,440.20
  4. Step 4: Simplify right side
    23,771.40x = 514,895,655.42
  5. Step 5: Solve for x
    x = 514,895,655.42/23,771.40
  6. Step 6: Final answer
    x = 21,660.30

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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.