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Finding the Fourth Proportional to 24,794.16, 37,189.44 and 8,154

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Solution

The fourth proportional to 24,794.16, 37,189.44 and 8,154 is: 12,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.16 : 37,189.44 = 8,154 : x
  2. Step 2: Convert to fraction form
    24,794.16/37,189.44 = 8,154/x
  3. Step 3: Cross multiply
    24,794.16x = 37,189.44 × 8,154
  4. Step 4: Simplify right side
    24,794.16x = 303,242,693.76
  5. Step 5: Solve for x
    x = 303,242,693.76/24,794.16
  6. Step 6: Final answer
    x = 12,230.41

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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.