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Finding the Fourth Proportional to 12,194.17, 16,821.77 and 7,710.37

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Solution

The fourth proportional to 12,194.17, 16,821.77 and 7,710.37 is: 10,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.17 : 16,821.77 = 7,710.37 : x
  2. Step 2: Convert to fraction form
    12,194.17/16,821.77 = 7,710.37/x
  3. Step 3: Cross multiply
    12,194.17x = 16,821.77 × 7,710.37
  4. Step 4: Simplify right side
    12,194.17x = 129,702,019.06
  5. Step 5: Solve for x
    x = 129,702,019.06/12,194.17
  6. Step 6: Final answer
    x = 10,636.40

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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.