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Finding the Fourth Proportional to 25,492.77, 38,228.38 and 13,644

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Solution

The fourth proportional to 25,492.77, 38,228.38 and 13,644 is: 20,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492.77 : 38,228.38 = 13,644 : x
  2. Step 2: Convert to fraction form
    25,492.77/38,228.38 = 13,644/x
  3. Step 3: Cross multiply
    25,492.77x = 38,228.38 × 13,644
  4. Step 4: Simplify right side
    25,492.77x = 521,587,982.61
  5. Step 5: Solve for x
    x = 521,587,982.61/25,492.77
  6. Step 6: Final answer
    x = 20,460.23

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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.