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Finding the Fourth Proportional to 21,225.64, 29,292.15 and 11,794

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Solution

The fourth proportional to 21,225.64, 29,292.15 and 11,794 is: 16,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.64 : 29,292.15 = 11,794 : x
  2. Step 2: Convert to fraction form
    21,225.64/29,292.15 = 11,794/x
  3. Step 3: Cross multiply
    21,225.64x = 29,292.15 × 11,794
  4. Step 4: Simplify right side
    21,225.64x = 345,471,617.10
  5. Step 5: Solve for x
    x = 345,471,617.10/21,225.64
  6. Step 6: Final answer
    x = 16,276.15

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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.