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Finding the Fourth Proportional to 20,767.49, 28,690.40 and 13,614.40

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Solution

The fourth proportional to 20,767.49, 28,690.40 and 13,614.40 is: 18,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.49 : 28,690.40 = 13,614.40 : x
  2. Step 2: Convert to fraction form
    20,767.49/28,690.40 = 13,614.40/x
  3. Step 3: Cross multiply
    20,767.49x = 28,690.40 × 13,614.40
  4. Step 4: Simplify right side
    20,767.49x = 390,602,732.35
  5. Step 5: Solve for x
    x = 390,602,732.35/20,767.49
  6. Step 6: Final answer
    x = 18,808.38

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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.