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Finding the Fourth Proportional to 25,257.78, 34,855.38 and 14,648.40

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Solution

The fourth proportional to 25,257.78, 34,855.38 and 14,648.40 is: 20,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.78 : 34,855.38 = 14,648.40 : x
  2. Step 2: Convert to fraction form
    25,257.78/34,855.38 = 14,648.40/x
  3. Step 3: Cross multiply
    25,257.78x = 34,855.38 × 14,648.40
  4. Step 4: Simplify right side
    25,257.78x = 510,575,548.39
  5. Step 5: Solve for x
    x = 510,575,548.39/25,257.78
  6. Step 6: Final answer
    x = 20,214.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.