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Finding the Fourth Proportional to 13,231.74, 18,256.95 and 7,639.50

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Solution

The fourth proportional to 13,231.74, 18,256.95 and 7,639.50 is: 10,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.74 : 18,256.95 = 7,639.50 : x
  2. Step 2: Convert to fraction form
    13,231.74/18,256.95 = 7,639.50/x
  3. Step 3: Cross multiply
    13,231.74x = 18,256.95 × 7,639.50
  4. Step 4: Simplify right side
    13,231.74x = 139,473,969.53
  5. Step 5: Solve for x
    x = 139,473,969.53/13,231.74
  6. Step 6: Final answer
    x = 10,540.86

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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.