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Finding the Fourth Proportional to 21,648.96, 29,872.26 and 13,702.06

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Solution

The fourth proportional to 21,648.96, 29,872.26 and 13,702.06 is: 18,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.96 : 29,872.26 = 13,702.06 : x
  2. Step 2: Convert to fraction form
    21,648.96/29,872.26 = 13,702.06/x
  3. Step 3: Cross multiply
    21,648.96x = 29,872.26 × 13,702.06
  4. Step 4: Simplify right side
    21,648.96x = 409,311,498.86
  5. Step 5: Solve for x
    x = 409,311,498.86/21,648.96
  6. Step 6: Final answer
    x = 18,906.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.