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Finding the Fourth Proportional to 12,638.58, 17,441.19 and 6,973.62

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Solution

The fourth proportional to 12,638.58, 17,441.19 and 6,973.62 is: 9,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.58 : 17,441.19 = 6,973.62 : x
  2. Step 2: Convert to fraction form
    12,638.58/17,441.19 = 6,973.62/x
  3. Step 3: Cross multiply
    12,638.58x = 17,441.19 × 6,973.62
  4. Step 4: Simplify right side
    12,638.58x = 121,628,231.41
  5. Step 5: Solve for x
    x = 121,628,231.41/12,638.58
  6. Step 6: Final answer
    x = 9,623.57

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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.