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Finding the Fourth Proportional to 25,039.97, 37,564.97 and 9,245.10

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Solution

The fourth proportional to 25,039.97, 37,564.97 and 9,245.10 is: 13,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,039.97 : 37,564.97 = 9,245.10 : x
  2. Step 2: Convert to fraction form
    25,039.97/37,564.97 = 9,245.10/x
  3. Step 3: Cross multiply
    25,039.97x = 37,564.97 × 9,245.10
  4. Step 4: Simplify right side
    25,039.97x = 347,291,904.15
  5. Step 5: Solve for x
    x = 347,291,904.15/25,039.97
  6. Step 6: Final answer
    x = 13,869.50

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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.