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Finding the Fourth Proportional to 25,913.68, 35,775.75 and 17,428.12

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Solution

The fourth proportional to 25,913.68, 35,775.75 and 17,428.12 is: 24,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.68 : 35,775.75 = 17,428.12 : x
  2. Step 2: Convert to fraction form
    25,913.68/35,775.75 = 17,428.12/x
  3. Step 3: Cross multiply
    25,913.68x = 35,775.75 × 17,428.12
  4. Step 4: Simplify right side
    25,913.68x = 623,504,064.09
  5. Step 5: Solve for x
    x = 623,504,064.09/25,913.68
  6. Step 6: Final answer
    x = 24,060.81

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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.