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Finding the Fourth Proportional to 25,207.39, 37,816.71 and 7,678.57

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Solution

The fourth proportional to 25,207.39, 37,816.71 and 7,678.57 is: 11,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207.39 : 37,816.71 = 7,678.57 : x
  2. Step 2: Convert to fraction form
    25,207.39/37,816.71 = 7,678.57/x
  3. Step 3: Cross multiply
    25,207.39x = 37,816.71 × 7,678.57
  4. Step 4: Simplify right side
    25,207.39x = 290,378,254.90
  5. Step 5: Solve for x
    x = 290,378,254.90/25,207.39
  6. Step 6: Final answer
    x = 11,519.57

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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.