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Finding the Fourth Proportional to 21,020.50, 31,536.36 and 7,874.20

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Solution

The fourth proportional to 21,020.50, 31,536.36 and 7,874.20 is: 11,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.50 : 31,536.36 = 7,874.20 : x
  2. Step 2: Convert to fraction form
    21,020.50/31,536.36 = 7,874.20/x
  3. Step 3: Cross multiply
    21,020.50x = 31,536.36 × 7,874.20
  4. Step 4: Simplify right side
    21,020.50x = 248,323,605.91
  5. Step 5: Solve for x
    x = 248,323,605.91/21,020.50
  6. Step 6: Final answer
    x = 11,813.40

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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.