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Finding the Fourth Proportional to 21,114.14, 29,132.89 and 12,614.99

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Solution

The fourth proportional to 21,114.14, 29,132.89 and 12,614.99 is: 17,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.14 : 29,132.89 = 12,614.99 : x
  2. Step 2: Convert to fraction form
    21,114.14/29,132.89 = 12,614.99/x
  3. Step 3: Cross multiply
    21,114.14x = 29,132.89 × 12,614.99
  4. Step 4: Simplify right side
    21,114.14x = 367,510,938.82
  5. Step 5: Solve for x
    x = 367,510,938.82/21,114.14
  6. Step 6: Final answer
    x = 17,405.92

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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.