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Finding the Fourth Proportional to 12,697.66, 19,048.62 and 4,692.89

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Solution

The fourth proportional to 12,697.66, 19,048.62 and 4,692.89 is: 7,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.66 : 19,048.62 = 4,692.89 : x
  2. Step 2: Convert to fraction form
    12,697.66/19,048.62 = 4,692.89/x
  3. Step 3: Cross multiply
    12,697.66x = 19,048.62 × 4,692.89
  4. Step 4: Simplify right side
    12,697.66x = 89,393,143.53
  5. Step 5: Solve for x
    x = 89,393,143.53/12,697.66
  6. Step 6: Final answer
    x = 7,040.13

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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.