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Finding the Fourth Proportional to 21,532.92, 32,305.86 and 7,683

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Solution

The fourth proportional to 21,532.92, 32,305.86 and 7,683 is: 11,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.92 : 32,305.86 = 7,683 : x
  2. Step 2: Convert to fraction form
    21,532.92/32,305.86 = 7,683/x
  3. Step 3: Cross multiply
    21,532.92x = 32,305.86 × 7,683
  4. Step 4: Simplify right side
    21,532.92x = 248,205,922.38
  5. Step 5: Solve for x
    x = 248,205,922.38/21,532.92
  6. Step 6: Final answer
    x = 11,526.81

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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.