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Finding the Fourth Proportional to 24,235.50, 36,353.21 and 6,705.28

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Solution

The fourth proportional to 24,235.50, 36,353.21 and 6,705.28 is: 10,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235.50 : 36,353.21 = 6,705.28 : x
  2. Step 2: Convert to fraction form
    24,235.50/36,353.21 = 6,705.28/x
  3. Step 3: Cross multiply
    24,235.50x = 36,353.21 × 6,705.28
  4. Step 4: Simplify right side
    24,235.50x = 243,758,463.86
  5. Step 5: Solve for x
    x = 243,758,463.86/24,235.50
  6. Step 6: Final answer
    x = 10,057.91

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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.