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Finding the Fourth Proportional to 25,225.50, 37,814.73 and 8,574.15

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Solution

The fourth proportional to 25,225.50, 37,814.73 and 8,574.15 is: 12,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,225.50 : 37,814.73 = 8,574.15 : x
  2. Step 2: Convert to fraction form
    25,225.50/37,814.73 = 8,574.15/x
  3. Step 3: Cross multiply
    25,225.50x = 37,814.73 × 8,574.15
  4. Step 4: Simplify right side
    25,225.50x = 324,229,167.23
  5. Step 5: Solve for x
    x = 324,229,167.23/25,225.50
  6. Step 6: Final answer
    x = 12,853.23

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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.