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Finding the Fourth Proportional to 20,534.64, 30,656.10 and 19,805.64

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Solution

The fourth proportional to 20,534.64, 30,656.10 and 19,805.64 is: 29,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.64 : 30,656.10 = 19,805.64 : x
  2. Step 2: Convert to fraction form
    20,534.64/30,656.10 = 19,805.64/x
  3. Step 3: Cross multiply
    20,534.64x = 30,656.10 × 19,805.64
  4. Step 4: Simplify right side
    20,534.64x = 607,163,680.40
  5. Step 5: Solve for x
    x = 607,163,680.40/20,534.64
  6. Step 6: Final answer
    x = 29,567.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.