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Finding the Fourth Proportional to 25,422, 38,096.66 and 11,173.40

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Solution

The fourth proportional to 25,422, 38,096.66 and 11,173.40 is: 16,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 38,096.66 = 11,173.40 : x
  2. Step 2: Convert to fraction form
    25,422/38,096.66 = 11,173.40/x
  3. Step 3: Cross multiply
    25,422x = 38,096.66 × 11,173.40
  4. Step 4: Simplify right side
    25,422x = 425,669,220.84
  5. Step 5: Solve for x
    x = 425,669,220.84/25,422
  6. Step 6: Final answer
    x = 16,744.13

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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.