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Finding the Fourth Proportional to 25,745.88, 38,630.82 and 9,118.50

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Solution

The fourth proportional to 25,745.88, 38,630.82 and 9,118.50 is: 13,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.88 : 38,630.82 = 9,118.50 : x
  2. Step 2: Convert to fraction form
    25,745.88/38,630.82 = 9,118.50/x
  3. Step 3: Cross multiply
    25,745.88x = 38,630.82 × 9,118.50
  4. Step 4: Simplify right side
    25,745.88x = 352,255,132.17
  5. Step 5: Solve for x
    x = 352,255,132.17/25,745.88
  6. Step 6: Final answer
    x = 13,682.00

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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.