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Finding the Fourth Proportional to 21,946.14, 32,915.76 and 7,154.98

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Solution

The fourth proportional to 21,946.14, 32,915.76 and 7,154.98 is: 10,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946.14 : 32,915.76 = 7,154.98 : x
  2. Step 2: Convert to fraction form
    21,946.14/32,915.76 = 7,154.98/x
  3. Step 3: Cross multiply
    21,946.14x = 32,915.76 × 7,154.98
  4. Step 4: Simplify right side
    21,946.14x = 235,511,439.91
  5. Step 5: Solve for x
    x = 235,511,439.91/21,946.14
  6. Step 6: Final answer
    x = 10,731.34

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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.