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Finding the Fourth Proportional to 21,136.84, 31,706.06 and 9,450.16

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Solution

The fourth proportional to 21,136.84, 31,706.06 and 9,450.16 is: 14,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.84 : 31,706.06 = 9,450.16 : x
  2. Step 2: Convert to fraction form
    21,136.84/31,706.06 = 9,450.16/x
  3. Step 3: Cross multiply
    21,136.84x = 31,706.06 × 9,450.16
  4. Step 4: Simplify right side
    21,136.84x = 299,627,339.97
  5. Step 5: Solve for x
    x = 299,627,339.97/21,136.84
  6. Step 6: Final answer
    x = 14,175.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.