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Finding the Fourth Proportional to 12,005.69, 16,568.50 and 6,700.46

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Solution

The fourth proportional to 12,005.69, 16,568.50 and 6,700.46 is: 9,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.69 : 16,568.50 = 6,700.46 : x
  2. Step 2: Convert to fraction form
    12,005.69/16,568.50 = 6,700.46/x
  3. Step 3: Cross multiply
    12,005.69x = 16,568.50 × 6,700.46
  4. Step 4: Simplify right side
    12,005.69x = 111,016,571.51
  5. Step 5: Solve for x
    x = 111,016,571.51/12,005.69
  6. Step 6: Final answer
    x = 9,247.00

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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.