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Finding the Fourth Proportional to 25,224.32, 37,832.16 and 6,752

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Solution

The fourth proportional to 25,224.32, 37,832.16 and 6,752 is: 10,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.32 : 37,832.16 = 6,752 : x
  2. Step 2: Convert to fraction form
    25,224.32/37,832.16 = 6,752/x
  3. Step 3: Cross multiply
    25,224.32x = 37,832.16 × 6,752
  4. Step 4: Simplify right side
    25,224.32x = 255,442,744.32
  5. Step 5: Solve for x
    x = 255,442,744.32/25,224.32
  6. Step 6: Final answer
    x = 10,126.84

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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.