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Finding the Fourth Proportional to 69,416.52, 104,124.78 and 16,826

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Solution

The fourth proportional to 69,416.52, 104,124.78 and 16,826 is: 25,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416.52 : 104,124.78 = 16,826 : x
  2. Step 2: Convert to fraction form
    69,416.52/104,124.78 = 16,826/x
  3. Step 3: Cross multiply
    69,416.52x = 104,124.78 × 16,826
  4. Step 4: Simplify right side
    69,416.52x = 1,752,003,548.28
  5. Step 5: Solve for x
    x = 1,752,003,548.28/69,416.52
  6. Step 6: Final answer
    x = 25,239.00

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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.