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Finding the Fourth Proportional to 24,305, 36,457.50 and 7,889

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Solution

The fourth proportional to 24,305, 36,457.50 and 7,889 is: 11,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305 : 36,457.50 = 7,889 : x
  2. Step 2: Convert to fraction form
    24,305/36,457.50 = 7,889/x
  3. Step 3: Cross multiply
    24,305x = 36,457.50 × 7,889
  4. Step 4: Simplify right side
    24,305x = 287,613,217.50
  5. Step 5: Solve for x
    x = 287,613,217.50/24,305
  6. Step 6: Final answer
    x = 11,833.50

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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.