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Finding the Fourth Proportional to 25,289.74, 37,939.49 and 9,706.15

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Solution

The fourth proportional to 25,289.74, 37,939.49 and 9,706.15 is: 14,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289.74 : 37,939.49 = 9,706.15 : x
  2. Step 2: Convert to fraction form
    25,289.74/37,939.49 = 9,706.15/x
  3. Step 3: Cross multiply
    25,289.74x = 37,939.49 × 9,706.15
  4. Step 4: Simplify right side
    25,289.74x = 368,246,142.64
  5. Step 5: Solve for x
    x = 368,246,142.64/25,289.74
  6. Step 6: Final answer
    x = 14,561.09

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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.