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Finding the Fourth Proportional to 25,836.09, 38,754.35 and 7,117.16

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Solution

The fourth proportional to 25,836.09, 38,754.35 and 7,117.16 is: 10,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,836.09 : 38,754.35 = 7,117.16 : x
  2. Step 2: Convert to fraction form
    25,836.09/38,754.35 = 7,117.16/x
  3. Step 3: Cross multiply
    25,836.09x = 38,754.35 × 7,117.16
  4. Step 4: Simplify right side
    25,836.09x = 275,821,015.43
  5. Step 5: Solve for x
    x = 275,821,015.43/25,836.09
  6. Step 6: Final answer
    x = 10,675.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.