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Finding the Fourth Proportional to 12,523.65, 17,284.91 and 7,146.87

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Solution

The fourth proportional to 12,523.65, 17,284.91 and 7,146.87 is: 9,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.65 : 17,284.91 = 7,146.87 : x
  2. Step 2: Convert to fraction form
    12,523.65/17,284.91 = 7,146.87/x
  3. Step 3: Cross multiply
    12,523.65x = 17,284.91 × 7,146.87
  4. Step 4: Simplify right side
    12,523.65x = 123,533,004.73
  5. Step 5: Solve for x
    x = 123,533,004.73/12,523.65
  6. Step 6: Final answer
    x = 9,863.98

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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.