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Finding the Fourth Proportional to 14,274.18, 19,697.84 and 7,986.56

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Solution

The fourth proportional to 14,274.18, 19,697.84 and 7,986.56 is: 11,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.18 : 19,697.84 = 7,986.56 : x
  2. Step 2: Convert to fraction form
    14,274.18/19,697.84 = 7,986.56/x
  3. Step 3: Cross multiply
    14,274.18x = 19,697.84 × 7,986.56
  4. Step 4: Simplify right side
    14,274.18x = 157,317,981.03
  5. Step 5: Solve for x
    x = 157,317,981.03/14,274.18
  6. Step 6: Final answer
    x = 11,021.16

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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.