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Finding the Fourth Proportional to 12,696.68, 17,526.33 and 11,368.10

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Solution

The fourth proportional to 12,696.68, 17,526.33 and 11,368.10 is: 15,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.68 : 17,526.33 = 11,368.10 : x
  2. Step 2: Convert to fraction form
    12,696.68/17,526.33 = 11,368.10/x
  3. Step 3: Cross multiply
    12,696.68x = 17,526.33 × 11,368.10
  4. Step 4: Simplify right side
    12,696.68x = 199,241,072.07
  5. Step 5: Solve for x
    x = 199,241,072.07/12,696.68
  6. Step 6: Final answer
    x = 15,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.