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Finding the Fourth Proportional to 23,657.22, 32,676.03 and 17,715.42

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Solution

The fourth proportional to 23,657.22, 32,676.03 and 17,715.42 is: 24,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.22 : 32,676.03 = 17,715.42 : x
  2. Step 2: Convert to fraction form
    23,657.22/32,676.03 = 17,715.42/x
  3. Step 3: Cross multiply
    23,657.22x = 32,676.03 × 17,715.42
  4. Step 4: Simplify right side
    23,657.22x = 578,869,595.38
  5. Step 5: Solve for x
    x = 578,869,595.38/23,657.22
  6. Step 6: Final answer
    x = 24,469.05

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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.