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Finding the Fourth Proportional to 19,200.75, 28,812.47 and 8,106.72

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Solution

The fourth proportional to 19,200.75, 28,812.47 and 8,106.72 is: 12,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.75 : 28,812.47 = 8,106.72 : x
  2. Step 2: Convert to fraction form
    19,200.75/28,812.47 = 8,106.72/x
  3. Step 3: Cross multiply
    19,200.75x = 28,812.47 × 8,106.72
  4. Step 4: Simplify right side
    19,200.75x = 233,574,586.26
  5. Step 5: Solve for x
    x = 233,574,586.26/19,200.75
  6. Step 6: Final answer
    x = 12,164.87

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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.