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Finding the Fourth Proportional to 22,492.50, 33,741.20 and 13,783.38

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Solution

The fourth proportional to 22,492.50, 33,741.20 and 13,783.38 is: 20,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.50 : 33,741.20 = 13,783.38 : x
  2. Step 2: Convert to fraction form
    22,492.50/33,741.20 = 13,783.38/x
  3. Step 3: Cross multiply
    22,492.50x = 33,741.20 × 13,783.38
  4. Step 4: Simplify right side
    22,492.50x = 465,067,712.34
  5. Step 5: Solve for x
    x = 465,067,712.34/22,492.50
  6. Step 6: Final answer
    x = 20,676.57

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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.