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Finding the Fourth Proportional to 21,638.34, 29,860.74 and 11,702.34

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Solution

The fourth proportional to 21,638.34, 29,860.74 and 11,702.34 is: 16,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.34 : 29,860.74 = 11,702.34 : x
  2. Step 2: Convert to fraction form
    21,638.34/29,860.74 = 11,702.34/x
  3. Step 3: Cross multiply
    21,638.34x = 29,860.74 × 11,702.34
  4. Step 4: Simplify right side
    21,638.34x = 349,440,532.13
  5. Step 5: Solve for x
    x = 349,440,532.13/21,638.34
  6. Step 6: Final answer
    x = 16,149.14

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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.