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Finding the Fourth Proportional to 24,254.09, 36,384.78 and 8,670.50

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Solution

The fourth proportional to 24,254.09, 36,384.78 and 8,670.50 is: 13,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.09 : 36,384.78 = 8,670.50 : x
  2. Step 2: Convert to fraction form
    24,254.09/36,384.78 = 8,670.50/x
  3. Step 3: Cross multiply
    24,254.09x = 36,384.78 × 8,670.50
  4. Step 4: Simplify right side
    24,254.09x = 315,474,234.99
  5. Step 5: Solve for x
    x = 315,474,234.99/24,254.09
  6. Step 6: Final answer
    x = 13,007.05

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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.