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Finding the Fourth Proportional to 16,820.42, 23,212.32 and 9,266.99

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Solution

The fourth proportional to 16,820.42, 23,212.32 and 9,266.99 is: 12,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.42 : 23,212.32 = 9,266.99 : x
  2. Step 2: Convert to fraction form
    16,820.42/23,212.32 = 9,266.99/x
  3. Step 3: Cross multiply
    16,820.42x = 23,212.32 × 9,266.99
  4. Step 4: Simplify right side
    16,820.42x = 215,108,337.32
  5. Step 5: Solve for x
    x = 215,108,337.32/16,820.42
  6. Step 6: Final answer
    x = 12,788.52

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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.