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Finding the Fourth Proportional to 16,005.24, 24,007.14 and 6,149.16

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Solution

The fourth proportional to 16,005.24, 24,007.14 and 6,149.16 is: 9,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.24 : 24,007.14 = 6,149.16 : x
  2. Step 2: Convert to fraction form
    16,005.24/24,007.14 = 6,149.16/x
  3. Step 3: Cross multiply
    16,005.24x = 24,007.14 × 6,149.16
  4. Step 4: Simplify right side
    16,005.24x = 147,623,745.00
  5. Step 5: Solve for x
    x = 147,623,745.00/16,005.24
  6. Step 6: Final answer
    x = 9,223.46

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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.