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Finding the Fourth Proportional to 12,692.25, 19,038.38 and 3,458.25

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Solution

The fourth proportional to 12,692.25, 19,038.38 and 3,458.25 is: 5,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.25 : 19,038.38 = 3,458.25 : x
  2. Step 2: Convert to fraction form
    12,692.25/19,038.38 = 3,458.25/x
  3. Step 3: Cross multiply
    12,692.25x = 19,038.38 × 3,458.25
  4. Step 4: Simplify right side
    12,692.25x = 65,839,460.34
  5. Step 5: Solve for x
    x = 65,839,460.34/12,692.25
  6. Step 6: Final answer
    x = 5,187.38

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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.