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Finding the Fourth Proportional to 24,798.86, 37,194.18 and 8,159.11

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Solution

The fourth proportional to 24,798.86, 37,194.18 and 8,159.11 is: 12,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.86 : 37,194.18 = 8,159.11 : x
  2. Step 2: Convert to fraction form
    24,798.86/37,194.18 = 8,159.11/x
  3. Step 3: Cross multiply
    24,798.86x = 37,194.18 × 8,159.11
  4. Step 4: Simplify right side
    24,798.86x = 303,471,405.98
  5. Step 5: Solve for x
    x = 303,471,405.98/24,798.86
  6. Step 6: Final answer
    x = 12,237.31

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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.