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Finding the Fourth Proportional to 21,676.64, 32,516.10 and 6,095.48

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Solution

The fourth proportional to 21,676.64, 32,516.10 and 6,095.48 is: 9,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.64 : 32,516.10 = 6,095.48 : x
  2. Step 2: Convert to fraction form
    21,676.64/32,516.10 = 6,095.48/x
  3. Step 3: Cross multiply
    21,676.64x = 32,516.10 × 6,095.48
  4. Step 4: Simplify right side
    21,676.64x = 198,201,237.23
  5. Step 5: Solve for x
    x = 198,201,237.23/21,676.64
  6. Step 6: Final answer
    x = 9,143.54

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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.