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Finding the Fourth Proportional to 24,740.60, 34,141.38 and 13,409.60

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Solution

The fourth proportional to 24,740.60, 34,141.38 and 13,409.60 is: 18,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740.60 : 34,141.38 = 13,409.60 : x
  2. Step 2: Convert to fraction form
    24,740.60/34,141.38 = 13,409.60/x
  3. Step 3: Cross multiply
    24,740.60x = 34,141.38 × 13,409.60
  4. Step 4: Simplify right side
    24,740.60x = 457,822,249.25
  5. Step 5: Solve for x
    x = 457,822,249.25/24,740.60
  6. Step 6: Final answer
    x = 18,504.90

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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.