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Finding the Fourth Proportional to 16,058.86, 24,074.45 and 7,727.42

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Solution

The fourth proportional to 16,058.86, 24,074.45 and 7,727.42 is: 11,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.86 : 24,074.45 = 7,727.42 : x
  2. Step 2: Convert to fraction form
    16,058.86/24,074.45 = 7,727.42/x
  3. Step 3: Cross multiply
    16,058.86x = 24,074.45 × 7,727.42
  4. Step 4: Simplify right side
    16,058.86x = 186,033,227.41
  5. Step 5: Solve for x
    x = 186,033,227.41/16,058.86
  6. Step 6: Final answer
    x = 11,584.46

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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.