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Finding the Fourth Proportional to 23,717.80, 35,576.70 and 13,220.20

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Solution

The fourth proportional to 23,717.80, 35,576.70 and 13,220.20 is: 19,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,717.80 : 35,576.70 = 13,220.20 : x
  2. Step 2: Convert to fraction form
    23,717.80/35,576.70 = 13,220.20/x
  3. Step 3: Cross multiply
    23,717.80x = 35,576.70 × 13,220.20
  4. Step 4: Simplify right side
    23,717.80x = 470,331,089.34
  5. Step 5: Solve for x
    x = 470,331,089.34/23,717.80
  6. Step 6: Final answer
    x = 19,830.30

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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.