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Finding the Fourth Proportional to 15,852.36, 23,776.56 and 5,322

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Solution

The fourth proportional to 15,852.36, 23,776.56 and 5,322 is: 7,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.36 : 23,776.56 = 5,322 : x
  2. Step 2: Convert to fraction form
    15,852.36/23,776.56 = 5,322/x
  3. Step 3: Cross multiply
    15,852.36x = 23,776.56 × 5,322
  4. Step 4: Simplify right side
    15,852.36x = 126,538,852.32
  5. Step 5: Solve for x
    x = 126,538,852.32/15,852.36
  6. Step 6: Final answer
    x = 7,982.34

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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.