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Finding the Fourth Proportional to 16,458.12, 22,706.60 and 9,745.92

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Solution

The fourth proportional to 16,458.12, 22,706.60 and 9,745.92 is: 13,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.12 : 22,706.60 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    16,458.12/22,706.60 = 9,745.92/x
  3. Step 3: Cross multiply
    16,458.12x = 22,706.60 × 9,745.92
  4. Step 4: Simplify right side
    16,458.12x = 221,296,658.34
  5. Step 5: Solve for x
    x = 221,296,658.34/16,458.12
  6. Step 6: Final answer
    x = 13,446.05

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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.