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Finding the Fourth Proportional to 12,381.42, 17,086.17 and 7,003.80

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Solution

The fourth proportional to 12,381.42, 17,086.17 and 7,003.80 is: 9,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.42 : 17,086.17 = 7,003.80 : x
  2. Step 2: Convert to fraction form
    12,381.42/17,086.17 = 7,003.80/x
  3. Step 3: Cross multiply
    12,381.42x = 17,086.17 × 7,003.80
  4. Step 4: Simplify right side
    12,381.42x = 119,668,117.45
  5. Step 5: Solve for x
    x = 119,668,117.45/12,381.42
  6. Step 6: Final answer
    x = 9,665.14

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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.