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Finding the Fourth Proportional to 23,486.60, 32,411.78 and 13,416.38

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Solution

The fourth proportional to 23,486.60, 32,411.78 and 13,416.38 is: 18,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.60 : 32,411.78 = 13,416.38 : x
  2. Step 2: Convert to fraction form
    23,486.60/32,411.78 = 13,416.38/x
  3. Step 3: Cross multiply
    23,486.60x = 32,411.78 × 13,416.38
  4. Step 4: Simplify right side
    23,486.60x = 434,848,756.96
  5. Step 5: Solve for x
    x = 434,848,756.96/23,486.60
  6. Step 6: Final answer
    x = 18,514.76

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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.