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Finding the Fourth Proportional to 13,510.31, 20,265.44 and 7,510.20

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Solution

The fourth proportional to 13,510.31, 20,265.44 and 7,510.20 is: 11,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.31 : 20,265.44 = 7,510.20 : x
  2. Step 2: Convert to fraction form
    13,510.31/20,265.44 = 7,510.20/x
  3. Step 3: Cross multiply
    13,510.31x = 20,265.44 × 7,510.20
  4. Step 4: Simplify right side
    13,510.31x = 152,197,469.94
  5. Step 5: Solve for x
    x = 152,197,469.94/13,510.31
  6. Step 6: Final answer
    x = 11,265.28

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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.