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Finding the Fourth Proportional to 18,537.84, 25,581.15 and 10,471.50

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Solution

The fourth proportional to 18,537.84, 25,581.15 and 10,471.50 is: 14,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.84 : 25,581.15 = 10,471.50 : x
  2. Step 2: Convert to fraction form
    18,537.84/25,581.15 = 10,471.50/x
  3. Step 3: Cross multiply
    18,537.84x = 25,581.15 × 10,471.50
  4. Step 4: Simplify right side
    18,537.84x = 267,873,012.23
  5. Step 5: Solve for x
    x = 267,873,012.23/18,537.84
  6. Step 6: Final answer
    x = 14,450.07

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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.