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Finding the Fourth Proportional to 21,523.60, 29,702.16 and 11,963.38

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Solution

The fourth proportional to 21,523.60, 29,702.16 and 11,963.38 is: 16,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.60 : 29,702.16 = 11,963.38 : x
  2. Step 2: Convert to fraction form
    21,523.60/29,702.16 = 11,963.38/x
  3. Step 3: Cross multiply
    21,523.60x = 29,702.16 × 11,963.38
  4. Step 4: Simplify right side
    21,523.60x = 355,338,226.90
  5. Step 5: Solve for x
    x = 355,338,226.90/21,523.60
  6. Step 6: Final answer
    x = 16,509.24

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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.