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Finding the Fourth Proportional to 12,830.67, 17,696.21 and 9,251.01

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Solution

The fourth proportional to 12,830.67, 17,696.21 and 9,251.01 is: 12,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.67 : 17,696.21 = 9,251.01 : x
  2. Step 2: Convert to fraction form
    12,830.67/17,696.21 = 9,251.01/x
  3. Step 3: Cross multiply
    12,830.67x = 17,696.21 × 9,251.01
  4. Step 4: Simplify right side
    12,830.67x = 163,707,769.42
  5. Step 5: Solve for x
    x = 163,707,769.42/12,830.67
  6. Step 6: Final answer
    x = 12,759.10

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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.