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Finding the Fourth Proportional to 24,415.16, 36,622.90 and 8,833.40

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Solution

The fourth proportional to 24,415.16, 36,622.90 and 8,833.40 is: 13,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.16 : 36,622.90 = 8,833.40 : x
  2. Step 2: Convert to fraction form
    24,415.16/36,622.90 = 8,833.40/x
  3. Step 3: Cross multiply
    24,415.16x = 36,622.90 × 8,833.40
  4. Step 4: Simplify right side
    24,415.16x = 323,504,724.86
  5. Step 5: Solve for x
    x = 323,504,724.86/24,415.16
  6. Step 6: Final answer
    x = 13,250.16

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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.