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Finding the Fourth Proportional to 25,568.88, 38,340.36 and 11,706

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Solution

The fourth proportional to 25,568.88, 38,340.36 and 11,706 is: 17,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.88 : 38,340.36 = 11,706 : x
  2. Step 2: Convert to fraction form
    25,568.88/38,340.36 = 11,706/x
  3. Step 3: Cross multiply
    25,568.88x = 38,340.36 × 11,706
  4. Step 4: Simplify right side
    25,568.88x = 448,812,254.16
  5. Step 5: Solve for x
    x = 448,812,254.16/25,568.88
  6. Step 6: Final answer
    x = 17,553.07

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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.