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Finding the Fourth Proportional to 21,497.81, 29,666.42 and 11,937.44

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Solution

The fourth proportional to 21,497.81, 29,666.42 and 11,937.44 is: 16,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.81 : 29,666.42 = 11,937.44 : x
  2. Step 2: Convert to fraction form
    21,497.81/29,666.42 = 11,937.44/x
  3. Step 3: Cross multiply
    21,497.81x = 29,666.42 × 11,937.44
  4. Step 4: Simplify right side
    21,497.81x = 354,141,168.01
  5. Step 5: Solve for x
    x = 354,141,168.01/21,497.81
  6. Step 6: Final answer
    x = 16,473.36

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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.