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Finding the Fourth Proportional to 16,090.82, 24,117.54 and 9,522.54

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Solution

The fourth proportional to 16,090.82, 24,117.54 and 9,522.54 is: 14,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.82 : 24,117.54 = 9,522.54 : x
  2. Step 2: Convert to fraction form
    16,090.82/24,117.54 = 9,522.54/x
  3. Step 3: Cross multiply
    16,090.82x = 24,117.54 × 9,522.54
  4. Step 4: Simplify right side
    16,090.82x = 229,660,239.35
  5. Step 5: Solve for x
    x = 229,660,239.35/16,090.82
  6. Step 6: Final answer
    x = 14,272.75

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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.