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Finding the Fourth Proportional to 13,146.93, 18,132.48 and 8,431.65

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Solution

The fourth proportional to 13,146.93, 18,132.48 and 8,431.65 is: 11,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.93 : 18,132.48 = 8,431.65 : x
  2. Step 2: Convert to fraction form
    13,146.93/18,132.48 = 8,431.65/x
  3. Step 3: Cross multiply
    13,146.93x = 18,132.48 × 8,431.65
  4. Step 4: Simplify right side
    13,146.93x = 152,886,724.99
  5. Step 5: Solve for x
    x = 152,886,724.99/13,146.93
  6. Step 6: Final answer
    x = 11,629.08

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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.