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Finding the Fourth Proportional to 19,648.92, 27,116.16 and 10,696.80

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Solution

The fourth proportional to 19,648.92, 27,116.16 and 10,696.80 is: 14,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.92 : 27,116.16 = 10,696.80 : x
  2. Step 2: Convert to fraction form
    19,648.92/27,116.16 = 10,696.80/x
  3. Step 3: Cross multiply
    19,648.92x = 27,116.16 × 10,696.80
  4. Step 4: Simplify right side
    19,648.92x = 290,056,140.29
  5. Step 5: Solve for x
    x = 290,056,140.29/19,648.92
  6. Step 6: Final answer
    x = 14,761.94

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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.