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Finding the Fourth Proportional to 16,234.34, 22,405.10 and 9,525.60

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Solution

The fourth proportional to 16,234.34, 22,405.10 and 9,525.60 is: 13,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.34 : 22,405.10 = 9,525.60 : x
  2. Step 2: Convert to fraction form
    16,234.34/22,405.10 = 9,525.60/x
  3. Step 3: Cross multiply
    16,234.34x = 22,405.10 × 9,525.60
  4. Step 4: Simplify right side
    16,234.34x = 213,421,972.93
  5. Step 5: Solve for x
    x = 213,421,972.93/16,234.34
  6. Step 6: Final answer
    x = 13,146.33

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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.