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Finding the Fourth Proportional to 21,046.26, 31,571.10 and 7,005.78

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Solution

The fourth proportional to 21,046.26, 31,571.10 and 7,005.78 is: 10,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.26 : 31,571.10 = 7,005.78 : x
  2. Step 2: Convert to fraction form
    21,046.26/31,571.10 = 7,005.78/x
  3. Step 3: Cross multiply
    21,046.26x = 31,571.10 × 7,005.78
  4. Step 4: Simplify right side
    21,046.26x = 221,180,180.96
  5. Step 5: Solve for x
    x = 221,180,180.96/21,046.26
  6. Step 6: Final answer
    x = 10,509.24

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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.