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Finding the Fourth Proportional to 23,789.66, 32,828.64 and 13,034.48

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Solution

The fourth proportional to 23,789.66, 32,828.64 and 13,034.48 is: 17,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.66 : 32,828.64 = 13,034.48 : x
  2. Step 2: Convert to fraction form
    23,789.66/32,828.64 = 13,034.48/x
  3. Step 3: Cross multiply
    23,789.66x = 32,828.64 × 13,034.48
  4. Step 4: Simplify right side
    23,789.66x = 427,904,251.51
  5. Step 5: Solve for x
    x = 427,904,251.51/23,789.66
  6. Step 6: Final answer
    x = 17,986.98

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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.