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Finding the Fourth Proportional to 19,825.58, 29,735.63 and 10,957.30

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Solution

The fourth proportional to 19,825.58, 29,735.63 and 10,957.30 is: 16,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.58 : 29,735.63 = 10,957.30 : x
  2. Step 2: Convert to fraction form
    19,825.58/29,735.63 = 10,957.30/x
  3. Step 3: Cross multiply
    19,825.58x = 29,735.63 × 10,957.30
  4. Step 4: Simplify right side
    19,825.58x = 325,822,015.13
  5. Step 5: Solve for x
    x = 325,822,015.13/19,825.58
  6. Step 6: Final answer
    x = 16,434.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.