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Finding the Fourth Proportional to 15,815.50, 21,825.39 and 9,529.18

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Solution

The fourth proportional to 15,815.50, 21,825.39 and 9,529.18 is: 13,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.50 : 21,825.39 = 9,529.18 : x
  2. Step 2: Convert to fraction form
    15,815.50/21,825.39 = 9,529.18/x
  3. Step 3: Cross multiply
    15,815.50x = 21,825.39 × 9,529.18
  4. Step 4: Simplify right side
    15,815.50x = 207,978,069.88
  5. Step 5: Solve for x
    x = 207,978,069.88/15,815.50
  6. Step 6: Final answer
    x = 13,150.27

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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.