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Finding the Fourth Proportional to 19,546.08, 29,320.16 and 5,696.16

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Solution

The fourth proportional to 19,546.08, 29,320.16 and 5,696.16 is: 8,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.08 : 29,320.16 = 5,696.16 : x
  2. Step 2: Convert to fraction form
    19,546.08/29,320.16 = 5,696.16/x
  3. Step 3: Cross multiply
    19,546.08x = 29,320.16 × 5,696.16
  4. Step 4: Simplify right side
    19,546.08x = 167,012,322.59
  5. Step 5: Solve for x
    x = 167,012,322.59/19,546.08
  6. Step 6: Final answer
    x = 8,544.54

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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.