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Finding the Fourth Proportional to 25,471.49, 38,207.19 and 21,688.09

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Solution

The fourth proportional to 25,471.49, 38,207.19 and 21,688.09 is: 32,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.49 : 38,207.19 = 21,688.09 : x
  2. Step 2: Convert to fraction form
    25,471.49/38,207.19 = 21,688.09/x
  3. Step 3: Cross multiply
    25,471.49x = 38,207.19 × 21,688.09
  4. Step 4: Simplify right side
    25,471.49x = 828,641,122.37
  5. Step 5: Solve for x
    x = 828,641,122.37/25,471.49
  6. Step 6: Final answer
    x = 32,532.11

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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.