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Finding the Fourth Proportional to 13,262.54, 18,301.82 and 7,596.86

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Solution

The fourth proportional to 13,262.54, 18,301.82 and 7,596.86 is: 10,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.54 : 18,301.82 = 7,596.86 : x
  2. Step 2: Convert to fraction form
    13,262.54/18,301.82 = 7,596.86/x
  3. Step 3: Cross multiply
    13,262.54x = 18,301.82 × 7,596.86
  4. Step 4: Simplify right side
    13,262.54x = 139,036,234.79
  5. Step 5: Solve for x
    x = 139,036,234.79/13,262.54
  6. Step 6: Final answer
    x = 10,483.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.