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Finding the Fourth Proportional to 21,602.94, 29,812.06 and 11,666.94

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Solution

The fourth proportional to 21,602.94, 29,812.06 and 11,666.94 is: 16,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.94 : 29,812.06 = 11,666.94 : x
  2. Step 2: Convert to fraction form
    21,602.94/29,812.06 = 11,666.94/x
  3. Step 3: Cross multiply
    21,602.94x = 29,812.06 × 11,666.94
  4. Step 4: Simplify right side
    21,602.94x = 347,815,456.96
  5. Step 5: Solve for x
    x = 347,815,456.96/21,602.94
  6. Step 6: Final answer
    x = 16,100.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.