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Finding the Fourth Proportional to 16,820.24, 23,212.04 and 9,650.45

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Solution

The fourth proportional to 16,820.24, 23,212.04 and 9,650.45 is: 13,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.24 : 23,212.04 = 9,650.45 : x
  2. Step 2: Convert to fraction form
    16,820.24/23,212.04 = 9,650.45/x
  3. Step 3: Cross multiply
    16,820.24x = 23,212.04 × 9,650.45
  4. Step 4: Simplify right side
    16,820.24x = 224,006,641.20
  5. Step 5: Solve for x
    x = 224,006,641.20/16,820.24
  6. Step 6: Final answer
    x = 13,317.69

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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.