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Finding the Fourth Proportional to 21,614.42, 29,827.68 and 12,186.02

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Solution

The fourth proportional to 21,614.42, 29,827.68 and 12,186.02 is: 16,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.42 : 29,827.68 = 12,186.02 : x
  2. Step 2: Convert to fraction form
    21,614.42/29,827.68 = 12,186.02/x
  3. Step 3: Cross multiply
    21,614.42x = 29,827.68 × 12,186.02
  4. Step 4: Simplify right side
    21,614.42x = 363,480,705.03
  5. Step 5: Solve for x
    x = 363,480,705.03/21,614.42
  6. Step 6: Final answer
    x = 16,816.58

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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.