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Finding the Fourth Proportional to 30,016.76, 41,431.22 and 17,271.40

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Solution

The fourth proportional to 30,016.76, 41,431.22 and 17,271.40 is: 23,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.76 : 41,431.22 = 17,271.40 : x
  2. Step 2: Convert to fraction form
    30,016.76/41,431.22 = 17,271.40/x
  3. Step 3: Cross multiply
    30,016.76x = 41,431.22 × 17,271.40
  4. Step 4: Simplify right side
    30,016.76x = 715,575,173.11
  5. Step 5: Solve for x
    x = 715,575,173.11/30,016.76
  6. Step 6: Final answer
    x = 23,839.19

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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.