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Finding the Fourth Proportional to 25,653.60, 38,448.28 and 13,778.19

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Solution

The fourth proportional to 25,653.60, 38,448.28 and 13,778.19 is: 20,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653.60 : 38,448.28 = 13,778.19 : x
  2. Step 2: Convert to fraction form
    25,653.60/38,448.28 = 13,778.19/x
  3. Step 3: Cross multiply
    25,653.60x = 38,448.28 × 13,778.19
  4. Step 4: Simplify right side
    25,653.60x = 529,747,672.57
  5. Step 5: Solve for x
    x = 529,747,672.57/25,653.60
  6. Step 6: Final answer
    x = 20,650.03

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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.