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Finding the Fourth Proportional to 13,051.44, 19,584.72 and 5,258.16

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Solution

The fourth proportional to 13,051.44, 19,584.72 and 5,258.16 is: 7,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.44 : 19,584.72 = 5,258.16 : x
  2. Step 2: Convert to fraction form
    13,051.44/19,584.72 = 5,258.16/x
  3. Step 3: Cross multiply
    13,051.44x = 19,584.72 × 5,258.16
  4. Step 4: Simplify right side
    13,051.44x = 102,979,591.32
  5. Step 5: Solve for x
    x = 102,979,591.32/13,051.44
  6. Step 6: Final answer
    x = 7,890.29

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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.