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Finding the Fourth Proportional to 12,009.36, 16,570.94 and 6,704.18

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Solution

The fourth proportional to 12,009.36, 16,570.94 and 6,704.18 is: 9,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.36 : 16,570.94 = 6,704.18 : x
  2. Step 2: Convert to fraction form
    12,009.36/16,570.94 = 6,704.18/x
  3. Step 3: Cross multiply
    12,009.36x = 16,570.94 × 6,704.18
  4. Step 4: Simplify right side
    12,009.36x = 111,094,448.15
  5. Step 5: Solve for x
    x = 111,094,448.15/12,009.36
  6. Step 6: Final answer
    x = 9,250.66

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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.