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Finding the Fourth Proportional to 25,492.72, 38,239 and 6,774.64

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Solution

The fourth proportional to 25,492.72, 38,239 and 6,774.64 is: 10,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492.72 : 38,239 = 6,774.64 : x
  2. Step 2: Convert to fraction form
    25,492.72/38,239 = 6,774.64/x
  3. Step 3: Cross multiply
    25,492.72x = 38,239 × 6,774.64
  4. Step 4: Simplify right side
    25,492.72x = 259,055,458.96
  5. Step 5: Solve for x
    x = 259,055,458.96/25,492.72
  6. Step 6: Final answer
    x = 10,161.94

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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.