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Finding the Fourth Proportional to 12,833.06, 17,708.79 and 7,455.02

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Solution

The fourth proportional to 12,833.06, 17,708.79 and 7,455.02 is: 10,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.06 : 17,708.79 = 7,455.02 : x
  2. Step 2: Convert to fraction form
    12,833.06/17,708.79 = 7,455.02/x
  3. Step 3: Cross multiply
    12,833.06x = 17,708.79 × 7,455.02
  4. Step 4: Simplify right side
    12,833.06x = 132,019,383.63
  5. Step 5: Solve for x
    x = 132,019,383.63/12,833.06
  6. Step 6: Final answer
    x = 10,287.44

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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.