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Finding the Fourth Proportional to 24,794.34, 37,157.79 and 13,684.50

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Solution

The fourth proportional to 24,794.34, 37,157.79 and 13,684.50 is: 20,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.34 : 37,157.79 = 13,684.50 : x
  2. Step 2: Convert to fraction form
    24,794.34/37,157.79 = 13,684.50/x
  3. Step 3: Cross multiply
    24,794.34x = 37,157.79 × 13,684.50
  4. Step 4: Simplify right side
    24,794.34x = 508,485,777.26
  5. Step 5: Solve for x
    x = 508,485,777.26/24,794.34
  6. Step 6: Final answer
    x = 20,508.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.