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Finding the Fourth Proportional to 19,805.96, 27,332.22 and 10,853.80

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Solution

The fourth proportional to 19,805.96, 27,332.22 and 10,853.80 is: 14,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.96 : 27,332.22 = 10,853.80 : x
  2. Step 2: Convert to fraction form
    19,805.96/27,332.22 = 10,853.80/x
  3. Step 3: Cross multiply
    19,805.96x = 27,332.22 × 10,853.80
  4. Step 4: Simplify right side
    19,805.96x = 296,658,449.44
  5. Step 5: Solve for x
    x = 296,658,449.44/19,805.96
  6. Step 6: Final answer
    x = 14,978.24

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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.