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Finding the Fourth Proportional to 13,009.51, 19,515.08 and 5,217.31

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Solution

The fourth proportional to 13,009.51, 19,515.08 and 5,217.31 is: 7,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.51 : 19,515.08 = 5,217.31 : x
  2. Step 2: Convert to fraction form
    13,009.51/19,515.08 = 5,217.31/x
  3. Step 3: Cross multiply
    13,009.51x = 19,515.08 × 5,217.31
  4. Step 4: Simplify right side
    13,009.51x = 101,816,222.03
  5. Step 5: Solve for x
    x = 101,816,222.03/13,009.51
  6. Step 6: Final answer
    x = 7,826.29

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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.