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Finding the Fourth Proportional to 25,318.98, 37,982.93 and 9,735.39

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Solution

The fourth proportional to 25,318.98, 37,982.93 and 9,735.39 is: 14,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,318.98 : 37,982.93 = 9,735.39 : x
  2. Step 2: Convert to fraction form
    25,318.98/37,982.93 = 9,735.39/x
  3. Step 3: Cross multiply
    25,318.98x = 37,982.93 × 9,735.39
  4. Step 4: Simplify right side
    25,318.98x = 369,778,588.22
  5. Step 5: Solve for x
    x = 369,778,588.22/25,318.98
  6. Step 6: Final answer
    x = 14,604.80

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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.