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Finding the Fourth Proportional to 25,334.50, 34,961.61 and 14,156.50

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Solution

The fourth proportional to 25,334.50, 34,961.61 and 14,156.50 is: 19,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.50 : 34,961.61 = 14,156.50 : x
  2. Step 2: Convert to fraction form
    25,334.50/34,961.61 = 14,156.50/x
  3. Step 3: Cross multiply
    25,334.50x = 34,961.61 × 14,156.50
  4. Step 4: Simplify right side
    25,334.50x = 494,934,031.97
  5. Step 5: Solve for x
    x = 494,934,031.97/25,334.50
  6. Step 6: Final answer
    x = 19,535.97

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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.