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Finding the Fourth Proportional to 21,778.76, 30,056 and 12,832.23

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Solution

The fourth proportional to 21,778.76, 30,056 and 12,832.23 is: 17,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.76 : 30,056 = 12,832.23 : x
  2. Step 2: Convert to fraction form
    21,778.76/30,056 = 12,832.23/x
  3. Step 3: Cross multiply
    21,778.76x = 30,056 × 12,832.23
  4. Step 4: Simplify right side
    21,778.76x = 385,685,354.60
  5. Step 5: Solve for x
    x = 385,685,354.60/21,778.76
  6. Step 6: Final answer
    x = 17,709.24

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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.