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Finding the Fourth Proportional to 25,004, 37,504.74 and 8,365.76

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Solution

The fourth proportional to 25,004, 37,504.74 and 8,365.76 is: 12,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,004 : 37,504.74 = 8,365.76 : x
  2. Step 2: Convert to fraction form
    25,004/37,504.74 = 8,365.76/x
  3. Step 3: Cross multiply
    25,004x = 37,504.74 × 8,365.76
  4. Step 4: Simplify right side
    25,004x = 313,755,653.70
  5. Step 5: Solve for x
    x = 313,755,653.70/25,004
  6. Step 6: Final answer
    x = 12,548.22

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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.