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Finding the Fourth Proportional to 12,146.69, 16,762.61 and 6,768.98

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Solution

The fourth proportional to 12,146.69, 16,762.61 and 6,768.98 is: 9,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.69 : 16,762.61 = 6,768.98 : x
  2. Step 2: Convert to fraction form
    12,146.69/16,762.61 = 6,768.98/x
  3. Step 3: Cross multiply
    12,146.69x = 16,762.61 × 6,768.98
  4. Step 4: Simplify right side
    12,146.69x = 113,465,771.84
  5. Step 5: Solve for x
    x = 113,465,771.84/12,146.69
  6. Step 6: Final answer
    x = 9,341.29

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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.