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Finding the Fourth Proportional to 21,126.96, 29,169 and 14,678.64

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Solution

The fourth proportional to 21,126.96, 29,169 and 14,678.64 is: 20,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126.96 : 29,169 = 14,678.64 : x
  2. Step 2: Convert to fraction form
    21,126.96/29,169 = 14,678.64/x
  3. Step 3: Cross multiply
    21,126.96x = 29,169 × 14,678.64
  4. Step 4: Simplify right side
    21,126.96x = 428,161,250.16
  5. Step 5: Solve for x
    x = 428,161,250.16/21,126.96
  6. Step 6: Final answer
    x = 20,266.11

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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.