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Finding the Fourth Proportional to 19,249.84, 28,852.32 and 8,152.80

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Solution

The fourth proportional to 19,249.84, 28,852.32 and 8,152.80 is: 12,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,249.84 : 28,852.32 = 8,152.80 : x
  2. Step 2: Convert to fraction form
    19,249.84/28,852.32 = 8,152.80/x
  3. Step 3: Cross multiply
    19,249.84x = 28,852.32 × 8,152.80
  4. Step 4: Simplify right side
    19,249.84x = 235,227,194.50
  5. Step 5: Solve for x
    x = 235,227,194.50/19,249.84
  6. Step 6: Final answer
    x = 12,219.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.