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Finding the Fourth Proportional to 16,401.96, 24,604.56 and 5,308.20

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Solution

The fourth proportional to 16,401.96, 24,604.56 and 5,308.20 is: 7,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.96 : 24,604.56 = 5,308.20 : x
  2. Step 2: Convert to fraction form
    16,401.96/24,604.56 = 5,308.20/x
  3. Step 3: Cross multiply
    16,401.96x = 24,604.56 × 5,308.20
  4. Step 4: Simplify right side
    16,401.96x = 130,605,925.39
  5. Step 5: Solve for x
    x = 130,605,925.39/16,401.96
  6. Step 6: Final answer
    x = 7,962.82

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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.