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Finding the Fourth Proportional to 39,858, 59,784.54 and 16,467.66

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Solution

The fourth proportional to 39,858, 59,784.54 and 16,467.66 is: 24,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 59,784.54 = 16,467.66 : x
  2. Step 2: Convert to fraction form
    39,858/59,784.54 = 16,467.66/x
  3. Step 3: Cross multiply
    39,858x = 59,784.54 × 16,467.66
  4. Step 4: Simplify right side
    39,858x = 984,511,477.98
  5. Step 5: Solve for x
    x = 984,511,477.98/39,858
  6. Step 6: Final answer
    x = 24,700.47

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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.