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Finding the Fourth Proportional to 21,146.84, 29,182.24 and 12,194.72

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Solution

The fourth proportional to 21,146.84, 29,182.24 and 12,194.72 is: 16,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.84 : 29,182.24 = 12,194.72 : x
  2. Step 2: Convert to fraction form
    21,146.84/29,182.24 = 12,194.72/x
  3. Step 3: Cross multiply
    21,146.84x = 29,182.24 × 12,194.72
  4. Step 4: Simplify right side
    21,146.84x = 355,869,245.77
  5. Step 5: Solve for x
    x = 355,869,245.77/21,146.84
  6. Step 6: Final answer
    x = 16,828.48

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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.