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Finding the Fourth Proportional to 15,533.94, 21,438.95 and 9,162.33

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Solution

The fourth proportional to 15,533.94, 21,438.95 and 9,162.33 is: 12,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.94 : 21,438.95 = 9,162.33 : x
  2. Step 2: Convert to fraction form
    15,533.94/21,438.95 = 9,162.33/x
  3. Step 3: Cross multiply
    15,533.94x = 21,438.95 × 9,162.33
  4. Step 4: Simplify right side
    15,533.94x = 196,430,757.66
  5. Step 5: Solve for x
    x = 196,430,757.66/15,533.94
  6. Step 6: Final answer
    x = 12,645.26

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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.