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Finding the Fourth Proportional to 21,267.91, 31,900.78 and 6,476.50

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Solution

The fourth proportional to 21,267.91, 31,900.78 and 6,476.50 is: 9,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.91 : 31,900.78 = 6,476.50 : x
  2. Step 2: Convert to fraction form
    21,267.91/31,900.78 = 6,476.50/x
  3. Step 3: Cross multiply
    21,267.91x = 31,900.78 × 6,476.50
  4. Step 4: Simplify right side
    21,267.91x = 206,605,401.67
  5. Step 5: Solve for x
    x = 206,605,401.67/21,267.91
  6. Step 6: Final answer
    x = 9,714.42

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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.