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Finding the Fourth Proportional to 21,146.16, 29,180.96 and 12,194.04

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Solution

The fourth proportional to 21,146.16, 29,180.96 and 12,194.04 is: 16,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.16 : 29,180.96 = 12,194.04 : x
  2. Step 2: Convert to fraction form
    21,146.16/29,180.96 = 12,194.04/x
  3. Step 3: Cross multiply
    21,146.16x = 29,180.96 × 12,194.04
  4. Step 4: Simplify right side
    21,146.16x = 355,833,887.66
  5. Step 5: Solve for x
    x = 355,833,887.66/21,146.16
  6. Step 6: Final answer
    x = 16,827.35

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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.