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Finding the Fourth Proportional to 24,096.16, 36,163.72 and 12,412.72

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Solution

The fourth proportional to 24,096.16, 36,163.72 and 12,412.72 is: 18,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096.16 : 36,163.72 = 12,412.72 : x
  2. Step 2: Convert to fraction form
    24,096.16/36,163.72 = 12,412.72/x
  3. Step 3: Cross multiply
    24,096.16x = 36,163.72 × 12,412.72
  4. Step 4: Simplify right side
    24,096.16x = 448,890,130.52
  5. Step 5: Solve for x
    x = 448,890,130.52/24,096.16
  6. Step 6: Final answer
    x = 18,629.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.