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Finding the Fourth Proportional to 21,658.58, 29,889.09 and 12,706.24

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Solution

The fourth proportional to 21,658.58, 29,889.09 and 12,706.24 is: 17,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.58 : 29,889.09 = 12,706.24 : x
  2. Step 2: Convert to fraction form
    21,658.58/29,889.09 = 12,706.24/x
  3. Step 3: Cross multiply
    21,658.58x = 29,889.09 × 12,706.24
  4. Step 4: Simplify right side
    21,658.58x = 379,777,737.94
  5. Step 5: Solve for x
    x = 379,777,737.94/21,658.58
  6. Step 6: Final answer
    x = 17,534.75

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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.