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Finding the Fourth Proportional to 12,006.12, 17,983.58 and 6,809.32

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Solution

The fourth proportional to 12,006.12, 17,983.58 and 6,809.32 is: 10,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.12 : 17,983.58 = 6,809.32 : x
  2. Step 2: Convert to fraction form
    12,006.12/17,983.58 = 6,809.32/x
  3. Step 3: Cross multiply
    12,006.12x = 17,983.58 × 6,809.32
  4. Step 4: Simplify right side
    12,006.12x = 122,455,950.97
  5. Step 5: Solve for x
    x = 122,455,950.97/12,006.12
  6. Step 6: Final answer
    x = 10,199.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.