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Finding the Fourth Proportional to 14,894, 20,592.12 and 14,241.20

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Solution

The fourth proportional to 14,894, 20,592.12 and 14,241.20 is: 19,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894 : 20,592.12 = 14,241.20 : x
  2. Step 2: Convert to fraction form
    14,894/20,592.12 = 14,241.20/x
  3. Step 3: Cross multiply
    14,894x = 20,592.12 × 14,241.20
  4. Step 4: Simplify right side
    14,894x = 293,256,499.34
  5. Step 5: Solve for x
    x = 293,256,499.34/14,894
  6. Step 6: Final answer
    x = 19,689.57

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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.