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Finding the Fourth Proportional to 12,009.63, 16,573.26 and 6,704.46

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Solution

The fourth proportional to 12,009.63, 16,573.26 and 6,704.46 is: 9,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.63 : 16,573.26 = 6,704.46 : x
  2. Step 2: Convert to fraction form
    12,009.63/16,573.26 = 6,704.46/x
  3. Step 3: Cross multiply
    12,009.63x = 16,573.26 × 6,704.46
  4. Step 4: Simplify right side
    12,009.63x = 111,114,758.74
  5. Step 5: Solve for x
    x = 111,114,758.74/12,009.63
  6. Step 6: Final answer
    x = 9,252.14

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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.