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Finding the Fourth Proportional to 21,042.72, 31,564.08 and 5,462.64

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Solution

The fourth proportional to 21,042.72, 31,564.08 and 5,462.64 is: 8,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.72 : 31,564.08 = 5,462.64 : x
  2. Step 2: Convert to fraction form
    21,042.72/31,564.08 = 5,462.64/x
  3. Step 3: Cross multiply
    21,042.72x = 31,564.08 × 5,462.64
  4. Step 4: Simplify right side
    21,042.72x = 172,423,205.97
  5. Step 5: Solve for x
    x = 172,423,205.97/21,042.72
  6. Step 6: Final answer
    x = 8,193.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.