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Finding the Fourth Proportional to 21,423.52, 29,564.46 and 11,992

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Solution

The fourth proportional to 21,423.52, 29,564.46 and 11,992 is: 16,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.52 : 29,564.46 = 11,992 : x
  2. Step 2: Convert to fraction form
    21,423.52/29,564.46 = 11,992/x
  3. Step 3: Cross multiply
    21,423.52x = 29,564.46 × 11,992
  4. Step 4: Simplify right side
    21,423.52x = 354,537,004.32
  5. Step 5: Solve for x
    x = 354,537,004.32/21,423.52
  6. Step 6: Final answer
    x = 16,548.96

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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.