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Finding the Fourth Proportional to 14,827, 20,461.26 and 9,238

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Solution

The fourth proportional to 14,827, 20,461.26 and 9,238 is: 12,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827 : 20,461.26 = 9,238 : x
  2. Step 2: Convert to fraction form
    14,827/20,461.26 = 9,238/x
  3. Step 3: Cross multiply
    14,827x = 20,461.26 × 9,238
  4. Step 4: Simplify right side
    14,827x = 189,021,119.88
  5. Step 5: Solve for x
    x = 189,021,119.88/14,827
  6. Step 6: Final answer
    x = 12,748.44

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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.