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Finding the Fourth Proportional to 25,201.84, 37,802.52 and 6,733.84

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Solution

The fourth proportional to 25,201.84, 37,802.52 and 6,733.84 is: 10,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.84 : 37,802.52 = 6,733.84 : x
  2. Step 2: Convert to fraction form
    25,201.84/37,802.52 = 6,733.84/x
  3. Step 3: Cross multiply
    25,201.84x = 37,802.52 × 6,733.84
  4. Step 4: Simplify right side
    25,201.84x = 254,556,121.28
  5. Step 5: Solve for x
    x = 254,556,121.28/25,201.84
  6. Step 6: Final answer
    x = 10,100.70

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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.