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Finding the Fourth Proportional to 23,109.30, 31,894.76 and 13,040.59

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Solution

The fourth proportional to 23,109.30, 31,894.76 and 13,040.59 is: 17,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.30 : 31,894.76 = 13,040.59 : x
  2. Step 2: Convert to fraction form
    23,109.30/31,894.76 = 13,040.59/x
  3. Step 3: Cross multiply
    23,109.30x = 31,894.76 × 13,040.59
  4. Step 4: Simplify right side
    23,109.30x = 415,926,488.31
  5. Step 5: Solve for x
    x = 415,926,488.31/23,109.30
  6. Step 6: Final answer
    x = 17,998.23

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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.