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Finding the Fourth Proportional to 21,299.32, 31,953.66 and 6,509.38

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Solution

The fourth proportional to 21,299.32, 31,953.66 and 6,509.38 is: 9,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.32 : 31,953.66 = 6,509.38 : x
  2. Step 2: Convert to fraction form
    21,299.32/31,953.66 = 6,509.38/x
  3. Step 3: Cross multiply
    21,299.32x = 31,953.66 × 6,509.38
  4. Step 4: Simplify right side
    21,299.32x = 207,998,515.33
  5. Step 5: Solve for x
    x = 207,998,515.33/21,299.32
  6. Step 6: Final answer
    x = 9,765.50

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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.