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Finding the Fourth Proportional to 25,164, 37,750.32 and 7,635.60

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Solution

The fourth proportional to 25,164, 37,750.32 and 7,635.60 is: 11,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164 : 37,750.32 = 7,635.60 : x
  2. Step 2: Convert to fraction form
    25,164/37,750.32 = 7,635.60/x
  3. Step 3: Cross multiply
    25,164x = 37,750.32 × 7,635.60
  4. Step 4: Simplify right side
    25,164x = 288,246,343.39
  5. Step 5: Solve for x
    x = 288,246,343.39/25,164
  6. Step 6: Final answer
    x = 11,454.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.