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Finding the Fourth Proportional to 16,947.54, 25,423.74 and 6,414.72

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Solution

The fourth proportional to 16,947.54, 25,423.74 and 6,414.72 is: 9,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947.54 : 25,423.74 = 6,414.72 : x
  2. Step 2: Convert to fraction form
    16,947.54/25,423.74 = 6,414.72/x
  3. Step 3: Cross multiply
    16,947.54x = 25,423.74 × 6,414.72
  4. Step 4: Simplify right side
    16,947.54x = 163,086,173.45
  5. Step 5: Solve for x
    x = 163,086,173.45/16,947.54
  6. Step 6: Final answer
    x = 9,623.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.