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Finding the Fourth Proportional to 14,288.40, 21,416.04 and 8,449.92

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Solution

The fourth proportional to 14,288.40, 21,416.04 and 8,449.92 is: 12,665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.40 : 21,416.04 = 8,449.92 : x
  2. Step 2: Convert to fraction form
    14,288.40/21,416.04 = 8,449.92/x
  3. Step 3: Cross multiply
    14,288.40x = 21,416.04 × 8,449.92
  4. Step 4: Simplify right side
    14,288.40x = 180,963,824.72
  5. Step 5: Solve for x
    x = 180,963,824.72/14,288.40
  6. Step 6: Final answer
    x = 12,665.09

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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.