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Finding the Fourth Proportional to 24,270.50, 36,384.08 and 9,475.96

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Solution

The fourth proportional to 24,270.50, 36,384.08 and 9,475.96 is: 14,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270.50 : 36,384.08 = 9,475.96 : x
  2. Step 2: Convert to fraction form
    24,270.50/36,384.08 = 9,475.96/x
  3. Step 3: Cross multiply
    24,270.50x = 36,384.08 × 9,475.96
  4. Step 4: Simplify right side
    24,270.50x = 344,774,086.72
  5. Step 5: Solve for x
    x = 344,774,086.72/24,270.50
  6. Step 6: Final answer
    x = 14,205.48

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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.