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Finding the Fourth Proportional to 14,632, 21,948.24 and 4,244.80

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Solution

The fourth proportional to 14,632, 21,948.24 and 4,244.80 is: 6,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632 : 21,948.24 = 4,244.80 : x
  2. Step 2: Convert to fraction form
    14,632/21,948.24 = 4,244.80/x
  3. Step 3: Cross multiply
    14,632x = 21,948.24 × 4,244.80
  4. Step 4: Simplify right side
    14,632x = 93,165,889.15
  5. Step 5: Solve for x
    x = 93,165,889.15/14,632
  6. Step 6: Final answer
    x = 6,367.27

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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.