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Finding the Fourth Proportional to 21,096.88, 29,113.32 and 11,666.32

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Solution

The fourth proportional to 21,096.88, 29,113.32 and 11,666.32 is: 16,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.88 : 29,113.32 = 11,666.32 : x
  2. Step 2: Convert to fraction form
    21,096.88/29,113.32 = 11,666.32/x
  3. Step 3: Cross multiply
    21,096.88x = 29,113.32 × 11,666.32
  4. Step 4: Simplify right side
    21,096.88x = 339,645,307.38
  5. Step 5: Solve for x
    x = 339,645,307.38/21,096.88
  6. Step 6: Final answer
    x = 16,099.31

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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.