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Finding the Fourth Proportional to 25,522.92, 38,289.84 and 7,752

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Solution

The fourth proportional to 25,522.92, 38,289.84 and 7,752 is: 11,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522.92 : 38,289.84 = 7,752 : x
  2. Step 2: Convert to fraction form
    25,522.92/38,289.84 = 7,752/x
  3. Step 3: Cross multiply
    25,522.92x = 38,289.84 × 7,752
  4. Step 4: Simplify right side
    25,522.92x = 296,822,839.68
  5. Step 5: Solve for x
    x = 296,822,839.68/25,522.92
  6. Step 6: Final answer
    x = 11,629.66

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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.