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Finding the Fourth Proportional to 16,401.20, 24,607.20 and 5,309.60

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Solution

The fourth proportional to 16,401.20, 24,607.20 and 5,309.60 is: 7,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.20 : 24,607.20 = 5,309.60 : x
  2. Step 2: Convert to fraction form
    16,401.20/24,607.20 = 5,309.60/x
  3. Step 3: Cross multiply
    16,401.20x = 24,607.20 × 5,309.60
  4. Step 4: Simplify right side
    16,401.20x = 130,654,389.12
  5. Step 5: Solve for x
    x = 130,654,389.12/16,401.20
  6. Step 6: Final answer
    x = 7,966.15

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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.