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Finding the Fourth Proportional to 13,082.16, 19,626.02 and 6,840.51

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Solution

The fourth proportional to 13,082.16, 19,626.02 and 6,840.51 is: 10,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.16 : 19,626.02 = 6,840.51 : x
  2. Step 2: Convert to fraction form
    13,082.16/19,626.02 = 6,840.51/x
  3. Step 3: Cross multiply
    13,082.16x = 19,626.02 × 6,840.51
  4. Step 4: Simplify right side
    13,082.16x = 134,251,986.07
  5. Step 5: Solve for x
    x = 134,251,986.07/13,082.16
  6. Step 6: Final answer
    x = 10,262.22

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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.