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Finding the Fourth Proportional to 25,446.86, 38,173.76 and 8,802.42

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Solution

The fourth proportional to 25,446.86, 38,173.76 and 8,802.42 is: 13,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.86 : 38,173.76 = 8,802.42 : x
  2. Step 2: Convert to fraction form
    25,446.86/38,173.76 = 8,802.42/x
  3. Step 3: Cross multiply
    25,446.86x = 38,173.76 × 8,802.42
  4. Step 4: Simplify right side
    25,446.86x = 336,021,468.50
  5. Step 5: Solve for x
    x = 336,021,468.50/25,446.86
  6. Step 6: Final answer
    x = 13,204.83

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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.