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Finding the Fourth Proportional to 13,147.65, 18,143.86 and 7,482.83

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Solution

The fourth proportional to 13,147.65, 18,143.86 and 7,482.83 is: 10,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.65 : 18,143.86 = 7,482.83 : x
  2. Step 2: Convert to fraction form
    13,147.65/18,143.86 = 7,482.83/x
  3. Step 3: Cross multiply
    13,147.65x = 18,143.86 × 7,482.83
  4. Step 4: Simplify right side
    13,147.65x = 135,767,372.89
  5. Step 5: Solve for x
    x = 135,767,372.89/13,147.65
  6. Step 6: Final answer
    x = 10,326.36

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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.