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Finding the Fourth Proportional to 13,274.55, 18,315.94 and 7,682.31

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Solution

The fourth proportional to 13,274.55, 18,315.94 and 7,682.31 is: 10,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.55 : 18,315.94 = 7,682.31 : x
  2. Step 2: Convert to fraction form
    13,274.55/18,315.94 = 7,682.31/x
  3. Step 3: Cross multiply
    13,274.55x = 18,315.94 × 7,682.31
  4. Step 4: Simplify right side
    13,274.55x = 140,708,774.81
  5. Step 5: Solve for x
    x = 140,708,774.81/13,274.55
  6. Step 6: Final answer
    x = 10,599.89

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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.