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Finding the Fourth Proportional to 16,005.81, 24,012.27 and 6,145.11

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Solution

The fourth proportional to 16,005.81, 24,012.27 and 6,145.11 is: 9,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.81 : 24,012.27 = 6,145.11 : x
  2. Step 2: Convert to fraction form
    16,005.81/24,012.27 = 6,145.11/x
  3. Step 3: Cross multiply
    16,005.81x = 24,012.27 × 6,145.11
  4. Step 4: Simplify right side
    16,005.81x = 147,558,040.50
  5. Step 5: Solve for x
    x = 147,558,040.50/16,005.81
  6. Step 6: Final answer
    x = 9,219.03

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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.