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Finding the Fourth Proportional to 13,138.41, 19,707.06 and 6,116.01

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Solution

The fourth proportional to 13,138.41, 19,707.06 and 6,116.01 is: 9,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.41 : 19,707.06 = 6,116.01 : x
  2. Step 2: Convert to fraction form
    13,138.41/19,707.06 = 6,116.01/x
  3. Step 3: Cross multiply
    13,138.41x = 19,707.06 × 6,116.01
  4. Step 4: Simplify right side
    13,138.41x = 120,528,576.03
  5. Step 5: Solve for x
    x = 120,528,576.03/13,138.41
  6. Step 6: Final answer
    x = 9,173.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.