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Finding the Fourth Proportional to 19,636.20, 27,098.28 and 10,684.08

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Solution

The fourth proportional to 19,636.20, 27,098.28 and 10,684.08 is: 14,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,636.20 : 27,098.28 = 10,684.08 : x
  2. Step 2: Convert to fraction form
    19,636.20/27,098.28 = 10,684.08/x
  3. Step 3: Cross multiply
    19,636.20x = 27,098.28 × 10,684.08
  4. Step 4: Simplify right side
    19,636.20x = 289,520,191.38
  5. Step 5: Solve for x
    x = 289,520,191.38/19,636.20
  6. Step 6: Final answer
    x = 14,744.21

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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.