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Finding the Fourth Proportional to 23,918.40, 35,878.84 and 7,277.12

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Solution

The fourth proportional to 23,918.40, 35,878.84 and 7,277.12 is: 10,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,918.40 : 35,878.84 = 7,277.12 : x
  2. Step 2: Convert to fraction form
    23,918.40/35,878.84 = 7,277.12/x
  3. Step 3: Cross multiply
    23,918.40x = 35,878.84 × 7,277.12
  4. Step 4: Simplify right side
    23,918.40x = 261,094,624.14
  5. Step 5: Solve for x
    x = 261,094,624.14/23,918.40
  6. Step 6: Final answer
    x = 10,916.06

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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.