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Finding the Fourth Proportional to 25,824, 38,742.48 and 7,356

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Solution

The fourth proportional to 25,824, 38,742.48 and 7,356 is: 11,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 38,742.48 = 7,356 : x
  2. Step 2: Convert to fraction form
    25,824/38,742.48 = 7,356/x
  3. Step 3: Cross multiply
    25,824x = 38,742.48 × 7,356
  4. Step 4: Simplify right side
    25,824x = 284,989,682.88
  5. Step 5: Solve for x
    x = 284,989,682.88/25,824
  6. Step 6: Final answer
    x = 11,035.85

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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.