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Finding the Fourth Proportional to 24,846.34, 34,288.42 and 13,516.11

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Solution

The fourth proportional to 24,846.34, 34,288.42 and 13,516.11 is: 18,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.34 : 34,288.42 = 13,516.11 : x
  2. Step 2: Convert to fraction form
    24,846.34/34,288.42 = 13,516.11/x
  3. Step 3: Cross multiply
    24,846.34x = 34,288.42 × 13,516.11
  4. Step 4: Simplify right side
    24,846.34x = 463,446,056.45
  5. Step 5: Solve for x
    x = 463,446,056.45/24,846.34
  6. Step 6: Final answer
    x = 18,652.49

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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.