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Finding the Fourth Proportional to 16,510.96, 22,782.72 and 9,436

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Solution

The fourth proportional to 16,510.96, 22,782.72 and 9,436 is: 13,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.96 : 22,782.72 = 9,436 : x
  2. Step 2: Convert to fraction form
    16,510.96/22,782.72 = 9,436/x
  3. Step 3: Cross multiply
    16,510.96x = 22,782.72 × 9,436
  4. Step 4: Simplify right side
    16,510.96x = 214,977,745.92
  5. Step 5: Solve for x
    x = 214,977,745.92/16,510.96
  6. Step 6: Final answer
    x = 13,020.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.