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Finding the Fourth Proportional to 19,773.40, 27,287.05 and 10,820.80

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Solution

The fourth proportional to 19,773.40, 27,287.05 and 10,820.80 is: 14,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.40 : 27,287.05 = 10,820.80 : x
  2. Step 2: Convert to fraction form
    19,773.40/27,287.05 = 10,820.80/x
  3. Step 3: Cross multiply
    19,773.40x = 27,287.05 × 10,820.80
  4. Step 4: Simplify right side
    19,773.40x = 295,267,710.64
  5. Step 5: Solve for x
    x = 295,267,710.64/19,773.40
  6. Step 6: Final answer
    x = 14,932.57

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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.