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Finding the Fourth Proportional to 16,564.80, 24,818.40 and 10,401.60

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Solution

The fourth proportional to 16,564.80, 24,818.40 and 10,401.60 is: 15,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.80 : 24,818.40 = 10,401.60 : x
  2. Step 2: Convert to fraction form
    16,564.80/24,818.40 = 10,401.60/x
  3. Step 3: Cross multiply
    16,564.80x = 24,818.40 × 10,401.60
  4. Step 4: Simplify right side
    16,564.80x = 258,151,069.44
  5. Step 5: Solve for x
    x = 258,151,069.44/16,564.80
  6. Step 6: Final answer
    x = 15,584.32

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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.