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Finding the Fourth Proportional to 21,089.28, 29,101.68 and 11,658

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Solution

The fourth proportional to 21,089.28, 29,101.68 and 11,658 is: 16,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089.28 : 29,101.68 = 11,658 : x
  2. Step 2: Convert to fraction form
    21,089.28/29,101.68 = 11,658/x
  3. Step 3: Cross multiply
    21,089.28x = 29,101.68 × 11,658
  4. Step 4: Simplify right side
    21,089.28x = 339,267,385.44
  5. Step 5: Solve for x
    x = 339,267,385.44/21,089.28
  6. Step 6: Final answer
    x = 16,087.20

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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.