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Finding the Fourth Proportional to 16,384.80, 24,512.40 and 14,217.60

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Solution

The fourth proportional to 16,384.80, 24,512.40 and 14,217.60 is: 21,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.80 : 24,512.40 = 14,217.60 : x
  2. Step 2: Convert to fraction form
    16,384.80/24,512.40 = 14,217.60/x
  3. Step 3: Cross multiply
    16,384.80x = 24,512.40 × 14,217.60
  4. Step 4: Simplify right side
    16,384.80x = 348,507,498.24
  5. Step 5: Solve for x
    x = 348,507,498.24/16,384.80
  6. Step 6: Final answer
    x = 21,270.17

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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.