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Finding the Fourth Proportional to 25,147.86, 37,727.62 and 7,377.80

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Solution

The fourth proportional to 25,147.86, 37,727.62 and 7,377.80 is: 11,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.86 : 37,727.62 = 7,377.80 : x
  2. Step 2: Convert to fraction form
    25,147.86/37,727.62 = 7,377.80/x
  3. Step 3: Cross multiply
    25,147.86x = 37,727.62 × 7,377.80
  4. Step 4: Simplify right side
    25,147.86x = 278,346,881.47
  5. Step 5: Solve for x
    x = 278,346,881.47/25,147.86
  6. Step 6: Final answer
    x = 11,068.41

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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.