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Finding the Fourth Proportional to 23,405.51, 35,114.41 and 8,414.14

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Solution

The fourth proportional to 23,405.51, 35,114.41 and 8,414.14 is: 12,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.51 : 35,114.41 = 8,414.14 : x
  2. Step 2: Convert to fraction form
    23,405.51/35,114.41 = 8,414.14/x
  3. Step 3: Cross multiply
    23,405.51x = 35,114.41 × 8,414.14
  4. Step 4: Simplify right side
    23,405.51x = 295,457,561.76
  5. Step 5: Solve for x
    x = 295,457,561.76/23,405.51
  6. Step 6: Final answer
    x = 12,623.42

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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.