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Finding the Fourth Proportional to 16,332.33, 22,537.94 and 9,259.17

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Solution

The fourth proportional to 16,332.33, 22,537.94 and 9,259.17 is: 12,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.33 : 22,537.94 = 9,259.17 : x
  2. Step 2: Convert to fraction form
    16,332.33/22,537.94 = 9,259.17/x
  3. Step 3: Cross multiply
    16,332.33x = 22,537.94 × 9,259.17
  4. Step 4: Simplify right side
    16,332.33x = 208,682,571.61
  5. Step 5: Solve for x
    x = 208,682,571.61/16,332.33
  6. Step 6: Final answer
    x = 12,777.27

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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.