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Finding the Fourth Proportional to 25,324.94, 37,984.52 and 6,855.50

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Solution

The fourth proportional to 25,324.94, 37,984.52 and 6,855.50 is: 10,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324.94 : 37,984.52 = 6,855.50 : x
  2. Step 2: Convert to fraction form
    25,324.94/37,984.52 = 6,855.50/x
  3. Step 3: Cross multiply
    25,324.94x = 37,984.52 × 6,855.50
  4. Step 4: Simplify right side
    25,324.94x = 260,402,876.86
  5. Step 5: Solve for x
    x = 260,402,876.86/25,324.94
  6. Step 6: Final answer
    x = 10,282.47

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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.