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Finding the Fourth Proportional to 12,436, 17,164.88 and 7,133.72

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Solution

The fourth proportional to 12,436, 17,164.88 and 7,133.72 is: 9,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436 : 17,164.88 = 7,133.72 : x
  2. Step 2: Convert to fraction form
    12,436/17,164.88 = 7,133.72/x
  3. Step 3: Cross multiply
    12,436x = 17,164.88 × 7,133.72
  4. Step 4: Simplify right side
    12,436x = 122,449,447.75
  5. Step 5: Solve for x
    x = 122,449,447.75/12,436
  6. Step 6: Final answer
    x = 9,846.37

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