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Finding the Fourth Proportional to 12,005.69, 17,999.36 and 9,919.13

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Solution

The fourth proportional to 12,005.69, 17,999.36 and 9,919.13 is: 14,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.69 : 17,999.36 = 9,919.13 : x
  2. Step 2: Convert to fraction form
    12,005.69/17,999.36 = 9,919.13/x
  3. Step 3: Cross multiply
    12,005.69x = 17,999.36 × 9,919.13
  4. Step 4: Simplify right side
    12,005.69x = 178,537,942.16
  5. Step 5: Solve for x
    x = 178,537,942.16/12,005.69
  6. Step 6: Final answer
    x = 14,871.11

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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.