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Finding the Fourth Proportional to 21,133.64, 29,156.82 and 12,747.08

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Solution

The fourth proportional to 21,133.64, 29,156.82 and 12,747.08 is: 17,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.64 : 29,156.82 = 12,747.08 : x
  2. Step 2: Convert to fraction form
    21,133.64/29,156.82 = 12,747.08/x
  3. Step 3: Cross multiply
    21,133.64x = 29,156.82 × 12,747.08
  4. Step 4: Simplify right side
    21,133.64x = 371,664,317.09
  5. Step 5: Solve for x
    x = 371,664,317.09/21,133.64
  6. Step 6: Final answer
    x = 17,586.38

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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.