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Finding the Fourth Proportional to 15,825.12, 21,838.54 and 9,454.60

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Solution

The fourth proportional to 15,825.12, 21,838.54 and 9,454.60 is: 13,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.12 : 21,838.54 = 9,454.60 : x
  2. Step 2: Convert to fraction form
    15,825.12/21,838.54 = 9,454.60/x
  3. Step 3: Cross multiply
    15,825.12x = 21,838.54 × 9,454.60
  4. Step 4: Simplify right side
    15,825.12x = 206,474,660.28
  5. Step 5: Solve for x
    x = 206,474,660.28/15,825.12
  6. Step 6: Final answer
    x = 13,047.27

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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.