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Finding the Fourth Proportional to 13,054.24, 19,584.06 and 4,289.68

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Solution

The fourth proportional to 13,054.24, 19,584.06 and 4,289.68 is: 6,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.24 : 19,584.06 = 4,289.68 : x
  2. Step 2: Convert to fraction form
    13,054.24/19,584.06 = 4,289.68/x
  3. Step 3: Cross multiply
    13,054.24x = 19,584.06 × 4,289.68
  4. Step 4: Simplify right side
    13,054.24x = 84,009,350.50
  5. Step 5: Solve for x
    x = 84,009,350.50/13,054.24
  6. Step 6: Final answer
    x = 6,435.41

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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.