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Finding the Fourth Proportional to 25,214, 37,817.64 and 8,573.36

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Solution

The fourth proportional to 25,214, 37,817.64 and 8,573.36 is: 12,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214 : 37,817.64 = 8,573.36 : x
  2. Step 2: Convert to fraction form
    25,214/37,817.64 = 8,573.36/x
  3. Step 3: Cross multiply
    25,214x = 37,817.64 × 8,573.36
  4. Step 4: Simplify right side
    25,214x = 324,224,242.07
  5. Step 5: Solve for x
    x = 324,224,242.07/25,214
  6. Step 6: Final answer
    x = 12,858.90

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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.