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Finding the Fourth Proportional to 12,596, 17,271.94 and 12,267.95

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Solution

The fourth proportional to 12,596, 17,271.94 and 12,267.95 is: 16,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 17,271.94 = 12,267.95 : x
  2. Step 2: Convert to fraction form
    12,596/17,271.94 = 12,267.95/x
  3. Step 3: Cross multiply
    12,596x = 17,271.94 × 12,267.95
  4. Step 4: Simplify right side
    12,596x = 211,891,296.32
  5. Step 5: Solve for x
    x = 211,891,296.32/12,596
  6. Step 6: Final answer
    x = 16,822.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.