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Finding the Fourth Proportional to 23,643.10, 35,464.65 and 19,414.90

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Solution

The fourth proportional to 23,643.10, 35,464.65 and 19,414.90 is: 29,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.10 : 35,464.65 = 19,414.90 : x
  2. Step 2: Convert to fraction form
    23,643.10/35,464.65 = 19,414.90/x
  3. Step 3: Cross multiply
    23,643.10x = 35,464.65 × 19,414.90
  4. Step 4: Simplify right side
    23,643.10x = 688,542,633.29
  5. Step 5: Solve for x
    x = 688,542,633.29/23,643.10
  6. Step 6: Final answer
    x = 29,122.35

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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.