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Finding the Fourth Proportional to 25,178.72, 34,745.28 and 14,000

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Solution

The fourth proportional to 25,178.72, 34,745.28 and 14,000 is: 19,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.72 : 34,745.28 = 14,000 : x
  2. Step 2: Convert to fraction form
    25,178.72/34,745.28 = 14,000/x
  3. Step 3: Cross multiply
    25,178.72x = 34,745.28 × 14,000
  4. Step 4: Simplify right side
    25,178.72x = 486,433,920
  5. Step 5: Solve for x
    x = 486,433,920/25,178.72
  6. Step 6: Final answer
    x = 19,319.25

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