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Finding the Fourth Proportional to 19,047.84, 28,571.76 and 5,196.96

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Solution

The fourth proportional to 19,047.84, 28,571.76 and 5,196.96 is: 7,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047.84 : 28,571.76 = 5,196.96 : x
  2. Step 2: Convert to fraction form
    19,047.84/28,571.76 = 5,196.96/x
  3. Step 3: Cross multiply
    19,047.84x = 28,571.76 × 5,196.96
  4. Step 4: Simplify right side
    19,047.84x = 148,486,293.85
  5. Step 5: Solve for x
    x = 148,486,293.85/19,047.84
  6. Step 6: Final answer
    x = 7,795.44

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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.