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Finding the Fourth Proportional to 23,085.41, 31,860.86 and 13,017

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Solution

The fourth proportional to 23,085.41, 31,860.86 and 13,017 is: 17,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.41 : 31,860.86 = 13,017 : x
  2. Step 2: Convert to fraction form
    23,085.41/31,860.86 = 13,017/x
  3. Step 3: Cross multiply
    23,085.41x = 31,860.86 × 13,017
  4. Step 4: Simplify right side
    23,085.41x = 414,732,749.54
  5. Step 5: Solve for x
    x = 414,732,749.54/23,085.41
  6. Step 6: Final answer
    x = 17,965.15

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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.