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Finding the Fourth Proportional to 21,142.11, 29,142.11 and 14,333.93

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Solution

The fourth proportional to 21,142.11, 29,142.11 and 14,333.93 is: 19,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.11 : 29,142.11 = 14,333.93 : x
  2. Step 2: Convert to fraction form
    21,142.11/29,142.11 = 14,333.93/x
  3. Step 3: Cross multiply
    21,142.11x = 29,142.11 × 14,333.93
  4. Step 4: Simplify right side
    21,142.11x = 417,720,964.20
  5. Step 5: Solve for x
    x = 417,720,964.20/21,142.11
  6. Step 6: Final answer
    x = 19,757.77

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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.