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Finding the Fourth Proportional to 21,827.28, 30,122.88 and 12,880.08

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Solution

The fourth proportional to 21,827.28, 30,122.88 and 12,880.08 is: 17,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.28 : 30,122.88 = 12,880.08 : x
  2. Step 2: Convert to fraction form
    21,827.28/30,122.88 = 12,880.08/x
  3. Step 3: Cross multiply
    21,827.28x = 30,122.88 × 12,880.08
  4. Step 4: Simplify right side
    21,827.28x = 387,985,104.23
  5. Step 5: Solve for x
    x = 387,985,104.23/21,827.28
  6. Step 6: Final answer
    x = 17,775.24

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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.