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Finding the Fourth Proportional to 25,608.42, 38,430 and 8,968.59

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Solution

The fourth proportional to 25,608.42, 38,430 and 8,968.59 is: 13,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608.42 : 38,430 = 8,968.59 : x
  2. Step 2: Convert to fraction form
    25,608.42/38,430 = 8,968.59/x
  3. Step 3: Cross multiply
    25,608.42x = 38,430 × 8,968.59
  4. Step 4: Simplify right side
    25,608.42x = 344,662,913.70
  5. Step 5: Solve for x
    x = 344,662,913.70/25,608.42
  6. Step 6: Final answer
    x = 13,458.97

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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.