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Finding the Fourth Proportional to 25,204.50, 37,813.01 and 10,417.68

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Solution

The fourth proportional to 25,204.50, 37,813.01 and 10,417.68 is: 15,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,204.50 : 37,813.01 = 10,417.68 : x
  2. Step 2: Convert to fraction form
    25,204.50/37,813.01 = 10,417.68/x
  3. Step 3: Cross multiply
    25,204.50x = 37,813.01 × 10,417.68
  4. Step 4: Simplify right side
    25,204.50x = 393,923,785.93
  5. Step 5: Solve for x
    x = 393,923,785.93/25,204.50
  6. Step 6: Final answer
    x = 15,629.11

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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.