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Finding the Fourth Proportional to 13,118.41, 18,101.91 and 7,812.21

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Solution

The fourth proportional to 13,118.41, 18,101.91 and 7,812.21 is: 10,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.41 : 18,101.91 = 7,812.21 : x
  2. Step 2: Convert to fraction form
    13,118.41/18,101.91 = 7,812.21/x
  3. Step 3: Cross multiply
    13,118.41x = 18,101.91 × 7,812.21
  4. Step 4: Simplify right side
    13,118.41x = 141,415,922.32
  5. Step 5: Solve for x
    x = 141,415,922.32/13,118.41
  6. Step 6: Final answer
    x = 10,779.96

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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.