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Finding the Fourth Proportional to 19,680.90, 27,169.68 and 13,341

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Solution

The fourth proportional to 19,680.90, 27,169.68 and 13,341 is: 18,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.90 : 27,169.68 = 13,341 : x
  2. Step 2: Convert to fraction form
    19,680.90/27,169.68 = 13,341/x
  3. Step 3: Cross multiply
    19,680.90x = 27,169.68 × 13,341
  4. Step 4: Simplify right side
    19,680.90x = 362,470,700.88
  5. Step 5: Solve for x
    x = 362,470,700.88/19,680.90
  6. Step 6: Final answer
    x = 18,417.38

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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.