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Finding the Fourth Proportional to 25,435.36, 38,142.48 and 9,844

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Solution

The fourth proportional to 25,435.36, 38,142.48 and 9,844 is: 14,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.36 : 38,142.48 = 9,844 : x
  2. Step 2: Convert to fraction form
    25,435.36/38,142.48 = 9,844/x
  3. Step 3: Cross multiply
    25,435.36x = 38,142.48 × 9,844
  4. Step 4: Simplify right side
    25,435.36x = 375,474,573.12
  5. Step 5: Solve for x
    x = 375,474,573.12/25,435.36
  6. Step 6: Final answer
    x = 14,761.91

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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.