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Finding the Fourth Proportional to 15,782.24, 21,778.56 and 8,708.48

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Solution

The fourth proportional to 15,782.24, 21,778.56 and 8,708.48 is: 12,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.24 : 21,778.56 = 8,708.48 : x
  2. Step 2: Convert to fraction form
    15,782.24/21,778.56 = 8,708.48/x
  3. Step 3: Cross multiply
    15,782.24x = 21,778.56 × 8,708.48
  4. Step 4: Simplify right side
    15,782.24x = 189,658,154.19
  5. Step 5: Solve for x
    x = 189,658,154.19/15,782.24
  6. Step 6: Final answer
    x = 12,017.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.