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Finding the Fourth Proportional to 12,133.74, 16,744.60 and 6,828.64

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Solution

The fourth proportional to 12,133.74, 16,744.60 and 6,828.64 is: 9,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.74 : 16,744.60 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    12,133.74/16,744.60 = 6,828.64/x
  3. Step 3: Cross multiply
    12,133.74x = 16,744.60 × 6,828.64
  4. Step 4: Simplify right side
    12,133.74x = 114,342,845.34
  5. Step 5: Solve for x
    x = 114,342,845.34/12,133.74
  6. Step 6: Final answer
    x = 9,423.55

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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.