Home / 22,827-34,193.34-13,438.09

Finding the Fourth Proportional to 22,827, 34,193.34 and 13,438.09

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Solution

The fourth proportional to 22,827, 34,193.34 and 13,438.09 is: 20,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827 : 34,193.34 = 13,438.09 : x
  2. Step 2: Convert to fraction form
    22,827/34,193.34 = 13,438.09/x
  3. Step 3: Cross multiply
    22,827x = 34,193.34 × 13,438.09
  4. Step 4: Simplify right side
    22,827x = 459,492,942.16
  5. Step 5: Solve for x
    x = 459,492,942.16/22,827
  6. Step 6: Final answer
    x = 20,129.36

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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.