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Finding the Fourth Proportional to 23,104.69, 31,882.64 and 13,029.91

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Solution

The fourth proportional to 23,104.69, 31,882.64 and 13,029.91 is: 17,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.69 : 31,882.64 = 13,029.91 : x
  2. Step 2: Convert to fraction form
    23,104.69/31,882.64 = 13,029.91/x
  3. Step 3: Cross multiply
    23,104.69x = 31,882.64 × 13,029.91
  4. Step 4: Simplify right side
    23,104.69x = 415,427,784.91
  5. Step 5: Solve for x
    x = 415,427,784.91/23,104.69
  6. Step 6: Final answer
    x = 17,980.24

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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.