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Finding the Fourth Proportional to 12,967, 17,897.70 and 7,381.24

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Solution

The fourth proportional to 12,967, 17,897.70 and 7,381.24 is: 10,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967 : 17,897.70 = 7,381.24 : x
  2. Step 2: Convert to fraction form
    12,967/17,897.70 = 7,381.24/x
  3. Step 3: Cross multiply
    12,967x = 17,897.70 × 7,381.24
  4. Step 4: Simplify right side
    12,967x = 132,107,219.15
  5. Step 5: Solve for x
    x = 132,107,219.15/12,967
  6. Step 6: Final answer
    x = 10,187.96

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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.