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Finding the Fourth Proportional to 16,501.78, 22,771.05 and 9,426.82

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Solution

The fourth proportional to 16,501.78, 22,771.05 and 9,426.82 is: 13,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.78 : 22,771.05 = 9,426.82 : x
  2. Step 2: Convert to fraction form
    16,501.78/22,771.05 = 9,426.82/x
  3. Step 3: Cross multiply
    16,501.78x = 22,771.05 × 9,426.82
  4. Step 4: Simplify right side
    16,501.78x = 214,658,589.56
  5. Step 5: Solve for x
    x = 214,658,589.56/16,501.78
  6. Step 6: Final answer
    x = 13,008.21

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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.