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Finding the Fourth Proportional to 24,769, 34,183.02 and 14,158.36

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Solution

The fourth proportional to 24,769, 34,183.02 and 14,158.36 is: 19,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769 : 34,183.02 = 14,158.36 : x
  2. Step 2: Convert to fraction form
    24,769/34,183.02 = 14,158.36/x
  3. Step 3: Cross multiply
    24,769x = 34,183.02 × 14,158.36
  4. Step 4: Simplify right side
    24,769x = 483,975,503.05
  5. Step 5: Solve for x
    x = 483,975,503.05/24,769
  6. Step 6: Final answer
    x = 19,539.57

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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.