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Finding the Fourth Proportional to 11,945.90, 16,430.53 and 9,582.86

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Solution

The fourth proportional to 11,945.90, 16,430.53 and 9,582.86 is: 13,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.90 : 16,430.53 = 9,582.86 : x
  2. Step 2: Convert to fraction form
    11,945.90/16,430.53 = 9,582.86/x
  3. Step 3: Cross multiply
    11,945.90x = 16,430.53 × 9,582.86
  4. Step 4: Simplify right side
    11,945.90x = 157,451,468.72
  5. Step 5: Solve for x
    x = 157,451,468.72/11,945.90
  6. Step 6: Final answer
    x = 13,180.38

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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.