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Finding the Fourth Proportional to 14,240.64, 21,371.76 and 6,454.80

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Solution

The fourth proportional to 14,240.64, 21,371.76 and 6,454.80 is: 9,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.64 : 21,371.76 = 6,454.80 : x
  2. Step 2: Convert to fraction form
    14,240.64/21,371.76 = 6,454.80/x
  3. Step 3: Cross multiply
    14,240.64x = 21,371.76 × 6,454.80
  4. Step 4: Simplify right side
    14,240.64x = 137,950,436.45
  5. Step 5: Solve for x
    x = 137,950,436.45/14,240.64
  6. Step 6: Final answer
    x = 9,687.10

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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.