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Finding the Fourth Proportional to 23,922.18, 35,888.74 and 7,284.58

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Solution

The fourth proportional to 23,922.18, 35,888.74 and 7,284.58 is: 10,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.18 : 35,888.74 = 7,284.58 : x
  2. Step 2: Convert to fraction form
    23,922.18/35,888.74 = 7,284.58/x
  3. Step 3: Cross multiply
    23,922.18x = 35,888.74 × 7,284.58
  4. Step 4: Simplify right side
    23,922.18x = 261,434,397.63
  5. Step 5: Solve for x
    x = 261,434,397.63/23,922.18
  6. Step 6: Final answer
    x = 10,928.54

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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.