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Finding the Fourth Proportional to 24,269, 36,403.68 and 7,853

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Solution

The fourth proportional to 24,269, 36,403.68 and 7,853 is: 11,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269 : 36,403.68 = 7,853 : x
  2. Step 2: Convert to fraction form
    24,269/36,403.68 = 7,853/x
  3. Step 3: Cross multiply
    24,269x = 36,403.68 × 7,853
  4. Step 4: Simplify right side
    24,269x = 285,878,099.04
  5. Step 5: Solve for x
    x = 285,878,099.04/24,269
  6. Step 6: Final answer
    x = 11,779.56

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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.