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Finding the Fourth Proportional to 12,381.86, 17,086.64 and 6,792.50

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Solution

The fourth proportional to 12,381.86, 17,086.64 and 6,792.50 is: 9,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.86 : 17,086.64 = 6,792.50 : x
  2. Step 2: Convert to fraction form
    12,381.86/17,086.64 = 6,792.50/x
  3. Step 3: Cross multiply
    12,381.86x = 17,086.64 × 6,792.50
  4. Step 4: Simplify right side
    12,381.86x = 116,061,002.20
  5. Step 5: Solve for x
    x = 116,061,002.20/12,381.86
  6. Step 6: Final answer
    x = 9,373.47

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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.