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Finding the Fourth Proportional to 20,962.92, 28,929.78 and 11,532

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Solution

The fourth proportional to 20,962.92, 28,929.78 and 11,532 is: 15,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.92 : 28,929.78 = 11,532 : x
  2. Step 2: Convert to fraction form
    20,962.92/28,929.78 = 11,532/x
  3. Step 3: Cross multiply
    20,962.92x = 28,929.78 × 11,532
  4. Step 4: Simplify right side
    20,962.92x = 333,618,222.96
  5. Step 5: Solve for x
    x = 333,618,222.96/20,962.92
  6. Step 6: Final answer
    x = 15,914.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.