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Finding the Fourth Proportional to 15,815.31, 21,825.08 and 9,009.32

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Solution

The fourth proportional to 15,815.31, 21,825.08 and 9,009.32 is: 12,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.31 : 21,825.08 = 9,009.32 : x
  2. Step 2: Convert to fraction form
    15,815.31/21,825.08 = 9,009.32/x
  3. Step 3: Cross multiply
    15,815.31x = 21,825.08 × 9,009.32
  4. Step 4: Simplify right side
    15,815.31x = 196,629,129.75
  5. Step 5: Solve for x
    x = 196,629,129.75/15,815.31
  6. Step 6: Final answer
    x = 12,432.83

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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.