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Finding the Fourth Proportional to 15,684.40, 21,644.38 and 8,514.46

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Solution

The fourth proportional to 15,684.40, 21,644.38 and 8,514.46 is: 11,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.40 : 21,644.38 = 8,514.46 : x
  2. Step 2: Convert to fraction form
    15,684.40/21,644.38 = 8,514.46/x
  3. Step 3: Cross multiply
    15,684.40x = 21,644.38 × 8,514.46
  4. Step 4: Simplify right side
    15,684.40x = 184,290,056.94
  5. Step 5: Solve for x
    x = 184,290,056.94/15,684.40
  6. Step 6: Final answer
    x = 11,749.90

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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.