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Finding the Fourth Proportional to 21,397.57, 32,096.45 and 14,048.53

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Solution

The fourth proportional to 21,397.57, 32,096.45 and 14,048.53 is: 21,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.57 : 32,096.45 = 14,048.53 : x
  2. Step 2: Convert to fraction form
    21,397.57/32,096.45 = 14,048.53/x
  3. Step 3: Cross multiply
    21,397.57x = 32,096.45 × 14,048.53
  4. Step 4: Simplify right side
    21,397.57x = 450,907,940.72
  5. Step 5: Solve for x
    x = 450,907,940.72/21,397.57
  6. Step 6: Final answer
    x = 21,072.86

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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.