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Finding the Fourth Proportional to 21,046.50, 31,571.15 and 7,005.96

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Solution

The fourth proportional to 21,046.50, 31,571.15 and 7,005.96 is: 10,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.50 : 31,571.15 = 7,005.96 : x
  2. Step 2: Convert to fraction form
    21,046.50/31,571.15 = 7,005.96/x
  3. Step 3: Cross multiply
    21,046.50x = 31,571.15 × 7,005.96
  4. Step 4: Simplify right side
    21,046.50x = 221,186,179.02
  5. Step 5: Solve for x
    x = 221,186,179.02/21,046.50
  6. Step 6: Final answer
    x = 10,509.40

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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.