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Finding the Fourth Proportional to 16,133.58, 24,194.25 and 6,271.65

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Solution

The fourth proportional to 16,133.58, 24,194.25 and 6,271.65 is: 9,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.58 : 24,194.25 = 6,271.65 : x
  2. Step 2: Convert to fraction form
    16,133.58/24,194.25 = 6,271.65/x
  3. Step 3: Cross multiply
    16,133.58x = 24,194.25 × 6,271.65
  4. Step 4: Simplify right side
    16,133.58x = 151,737,868.01
  5. Step 5: Solve for x
    x = 151,737,868.01/16,133.58
  6. Step 6: Final answer
    x = 9,405.10

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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.