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Finding the Fourth Proportional to 23,106.40, 31,886.40 and 13,034.68

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Solution

The fourth proportional to 23,106.40, 31,886.40 and 13,034.68 is: 17,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.40 : 31,886.40 = 13,034.68 : x
  2. Step 2: Convert to fraction form
    23,106.40/31,886.40 = 13,034.68/x
  3. Step 3: Cross multiply
    23,106.40x = 31,886.40 × 13,034.68
  4. Step 4: Simplify right side
    23,106.40x = 415,629,020.35
  5. Step 5: Solve for x
    x = 415,629,020.35/23,106.40
  6. Step 6: Final answer
    x = 17,987.61

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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.