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Finding the Fourth Proportional to 23,655.22, 35,482.84 and 11,176.50

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Solution

The fourth proportional to 23,655.22, 35,482.84 and 11,176.50 is: 16,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.22 : 35,482.84 = 11,176.50 : x
  2. Step 2: Convert to fraction form
    23,655.22/35,482.84 = 11,176.50/x
  3. Step 3: Cross multiply
    23,655.22x = 35,482.84 × 11,176.50
  4. Step 4: Simplify right side
    23,655.22x = 396,573,961.26
  5. Step 5: Solve for x
    x = 396,573,961.26/23,655.22
  6. Step 6: Final answer
    x = 16,764.75

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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.