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Finding the Fourth Proportional to 25,317.90, 37,976.76 and 6,849.90

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Solution

The fourth proportional to 25,317.90, 37,976.76 and 6,849.90 is: 10,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317.90 : 37,976.76 = 6,849.90 : x
  2. Step 2: Convert to fraction form
    25,317.90/37,976.76 = 6,849.90/x
  3. Step 3: Cross multiply
    25,317.90x = 37,976.76 × 6,849.90
  4. Step 4: Simplify right side
    25,317.90x = 260,137,008.32
  5. Step 5: Solve for x
    x = 260,137,008.32/25,317.90
  6. Step 6: Final answer
    x = 10,274.83

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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.