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Finding the Fourth Proportional to 23,537.50, 32,489.04 and 15,154

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Solution

The fourth proportional to 23,537.50, 32,489.04 and 15,154 is: 20,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.50 : 32,489.04 = 15,154 : x
  2. Step 2: Convert to fraction form
    23,537.50/32,489.04 = 15,154/x
  3. Step 3: Cross multiply
    23,537.50x = 32,489.04 × 15,154
  4. Step 4: Simplify right side
    23,537.50x = 492,338,912.16
  5. Step 5: Solve for x
    x = 492,338,912.16/23,537.50
  6. Step 6: Final answer
    x = 20,917.21

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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.