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Finding the Fourth Proportional to 21,096.90, 31,647.16 and 5,514.50

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Solution

The fourth proportional to 21,096.90, 31,647.16 and 5,514.50 is: 8,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.90 : 31,647.16 = 5,514.50 : x
  2. Step 2: Convert to fraction form
    21,096.90/31,647.16 = 5,514.50/x
  3. Step 3: Cross multiply
    21,096.90x = 31,647.16 × 5,514.50
  4. Step 4: Simplify right side
    21,096.90x = 174,518,263.82
  5. Step 5: Solve for x
    x = 174,518,263.82/21,096.90
  6. Step 6: Final answer
    x = 8,272.22

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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.