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Finding the Fourth Proportional to 12,135.81, 16,746.42 and 6,829.65

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Solution

The fourth proportional to 12,135.81, 16,746.42 and 6,829.65 is: 9,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.81 : 16,746.42 = 6,829.65 : x
  2. Step 2: Convert to fraction form
    12,135.81/16,746.42 = 6,829.65/x
  3. Step 3: Cross multiply
    12,135.81x = 16,746.42 × 6,829.65
  4. Step 4: Simplify right side
    12,135.81x = 114,372,187.35
  5. Step 5: Solve for x
    x = 114,372,187.35/12,135.81
  6. Step 6: Final answer
    x = 9,424.36

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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.