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Finding the Fourth Proportional to 17,211.12, 23,754.96 and 10,140

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Solution

The fourth proportional to 17,211.12, 23,754.96 and 10,140 is: 13,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.12 : 23,754.96 = 10,140 : x
  2. Step 2: Convert to fraction form
    17,211.12/23,754.96 = 10,140/x
  3. Step 3: Cross multiply
    17,211.12x = 23,754.96 × 10,140
  4. Step 4: Simplify right side
    17,211.12x = 240,875,294.40
  5. Step 5: Solve for x
    x = 240,875,294.40/17,211.12
  6. Step 6: Final answer
    x = 13,995.33

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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.