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Finding the Fourth Proportional to 15,707.36, 23,569.11 and 8,686.05

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Solution

The fourth proportional to 15,707.36, 23,569.11 and 8,686.05 is: 13,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.36 : 23,569.11 = 8,686.05 : x
  2. Step 2: Convert to fraction form
    15,707.36/23,569.11 = 8,686.05/x
  3. Step 3: Cross multiply
    15,707.36x = 23,569.11 × 8,686.05
  4. Step 4: Simplify right side
    15,707.36x = 204,722,467.92
  5. Step 5: Solve for x
    x = 204,722,467.92/15,707.36
  6. Step 6: Final answer
    x = 13,033.54

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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.