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Finding the Fourth Proportional to 14,614.34, 21,915.41 and 6,289.97

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Solution

The fourth proportional to 14,614.34, 21,915.41 and 6,289.97 is: 9,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.34 : 21,915.41 = 6,289.97 : x
  2. Step 2: Convert to fraction form
    14,614.34/21,915.41 = 6,289.97/x
  3. Step 3: Cross multiply
    14,614.34x = 21,915.41 × 6,289.97
  4. Step 4: Simplify right side
    14,614.34x = 137,847,130.41
  5. Step 5: Solve for x
    x = 137,847,130.41/14,614.34
  6. Step 6: Final answer
    x = 9,432.32

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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.