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Finding the Fourth Proportional to 18,283.52, 25,231.68 and 10,732

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Solution

The fourth proportional to 18,283.52, 25,231.68 and 10,732 is: 14,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.52 : 25,231.68 = 10,732 : x
  2. Step 2: Convert to fraction form
    18,283.52/25,231.68 = 10,732/x
  3. Step 3: Cross multiply
    18,283.52x = 25,231.68 × 10,732
  4. Step 4: Simplify right side
    18,283.52x = 270,786,389.76
  5. Step 5: Solve for x
    x = 270,786,389.76/18,283.52
  6. Step 6: Final answer
    x = 14,810.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.