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Finding the Fourth Proportional to 19,138.84, 28,692.77 and 5,984.44

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Solution

The fourth proportional to 19,138.84, 28,692.77 and 5,984.44 is: 8,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.84 : 28,692.77 = 5,984.44 : x
  2. Step 2: Convert to fraction form
    19,138.84/28,692.77 = 5,984.44/x
  3. Step 3: Cross multiply
    19,138.84x = 28,692.77 × 5,984.44
  4. Step 4: Simplify right side
    19,138.84x = 171,710,160.50
  5. Step 5: Solve for x
    x = 171,710,160.50/19,138.84
  6. Step 6: Final answer
    x = 8,971.82

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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.