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Finding the Fourth Proportional to 13,007.51, 19,512.08 and 5,215.31

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Solution

The fourth proportional to 13,007.51, 19,512.08 and 5,215.31 is: 7,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.51 : 19,512.08 = 5,215.31 : x
  2. Step 2: Convert to fraction form
    13,007.51/19,512.08 = 5,215.31/x
  3. Step 3: Cross multiply
    13,007.51x = 19,512.08 × 5,215.31
  4. Step 4: Simplify right side
    13,007.51x = 101,761,545.94
  5. Step 5: Solve for x
    x = 101,761,545.94/13,007.51
  6. Step 6: Final answer
    x = 7,823.29

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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.