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Finding the Fourth Proportional to 21,706.06, 32,564 and 6,915.82

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Solution

The fourth proportional to 21,706.06, 32,564 and 6,915.82 is: 10,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.06 : 32,564 = 6,915.82 : x
  2. Step 2: Convert to fraction form
    21,706.06/32,564 = 6,915.82/x
  3. Step 3: Cross multiply
    21,706.06x = 32,564 × 6,915.82
  4. Step 4: Simplify right side
    21,706.06x = 225,206,762.48
  5. Step 5: Solve for x
    x = 225,206,762.48/21,706.06
  6. Step 6: Final answer
    x = 10,375.29

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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.