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Finding the Fourth Proportional to 12,189.94, 16,821.97 and 7,153.26

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Solution

The fourth proportional to 12,189.94, 16,821.97 and 7,153.26 is: 9,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.94 : 16,821.97 = 7,153.26 : x
  2. Step 2: Convert to fraction form
    12,189.94/16,821.97 = 7,153.26/x
  3. Step 3: Cross multiply
    12,189.94x = 16,821.97 × 7,153.26
  4. Step 4: Simplify right side
    12,189.94x = 120,331,925.12
  5. Step 5: Solve for x
    x = 120,331,925.12/12,189.94
  6. Step 6: Final answer
    x = 9,871.41

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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.