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Finding the Fourth Proportional to 12,381.68, 17,086.20 and 6,792.32

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Solution

The fourth proportional to 12,381.68, 17,086.20 and 6,792.32 is: 9,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.68 : 17,086.20 = 6,792.32 : x
  2. Step 2: Convert to fraction form
    12,381.68/17,086.20 = 6,792.32/x
  3. Step 3: Cross multiply
    12,381.68x = 17,086.20 × 6,792.32
  4. Step 4: Simplify right side
    12,381.68x = 116,054,937.98
  5. Step 5: Solve for x
    x = 116,054,937.98/12,381.68
  6. Step 6: Final answer
    x = 9,373.12

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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.