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Finding the Fourth Proportional to 23,410.84, 32,310 and 13,342.92

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Solution

The fourth proportional to 23,410.84, 32,310 and 13,342.92 is: 18,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.84 : 32,310 = 13,342.92 : x
  2. Step 2: Convert to fraction form
    23,410.84/32,310 = 13,342.92/x
  3. Step 3: Cross multiply
    23,410.84x = 32,310 × 13,342.92
  4. Step 4: Simplify right side
    23,410.84x = 431,109,745.20
  5. Step 5: Solve for x
    x = 431,109,745.20/23,410.84
  6. Step 6: Final answer
    x = 18,414.96

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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.