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Finding the Fourth Proportional to 16,512.83, 22,782.15 and 9,434.24

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Solution

The fourth proportional to 16,512.83, 22,782.15 and 9,434.24 is: 13,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.83 : 22,782.15 = 9,434.24 : x
  2. Step 2: Convert to fraction form
    16,512.83/22,782.15 = 9,434.24/x
  3. Step 3: Cross multiply
    16,512.83x = 22,782.15 × 9,434.24
  4. Step 4: Simplify right side
    16,512.83x = 214,932,270.82
  5. Step 5: Solve for x
    x = 214,932,270.82/16,512.83
  6. Step 6: Final answer
    x = 13,016.08

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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.