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Finding the Fourth Proportional to 13,208.32, 19,815.78 and 9,320.32

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Solution

The fourth proportional to 13,208.32, 19,815.78 and 9,320.32 is: 13,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.32 : 19,815.78 = 9,320.32 : x
  2. Step 2: Convert to fraction form
    13,208.32/19,815.78 = 9,320.32/x
  3. Step 3: Cross multiply
    13,208.32x = 19,815.78 × 9,320.32
  4. Step 4: Simplify right side
    13,208.32x = 184,689,410.65
  5. Step 5: Solve for x
    x = 184,689,410.65/13,208.32
  6. Step 6: Final answer
    x = 13,982.81

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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.