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Finding the Fourth Proportional to 19,767, 27,284.94 and 14,194.20

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Solution

The fourth proportional to 19,767, 27,284.94 and 14,194.20 is: 19,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767 : 27,284.94 = 14,194.20 : x
  2. Step 2: Convert to fraction form
    19,767/27,284.94 = 14,194.20/x
  3. Step 3: Cross multiply
    19,767x = 27,284.94 × 14,194.20
  4. Step 4: Simplify right side
    19,767x = 387,287,895.35
  5. Step 5: Solve for x
    x = 387,287,895.35/19,767
  6. Step 6: Final answer
    x = 19,592.65

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1.5x scale

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.