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Finding the Fourth Proportional to 17,234.64, 23,734.08 and 16,447.32

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Solution

The fourth proportional to 17,234.64, 23,734.08 and 16,447.32 is: 22,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.64 : 23,734.08 = 16,447.32 : x
  2. Step 2: Convert to fraction form
    17,234.64/23,734.08 = 16,447.32/x
  3. Step 3: Cross multiply
    17,234.64x = 23,734.08 × 16,447.32
  4. Step 4: Simplify right side
    17,234.64x = 390,362,008.67
  5. Step 5: Solve for x
    x = 390,362,008.67/17,234.64
  6. Step 6: Final answer
    x = 22,649.85

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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.