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Finding the Fourth Proportional to 16,267.59, 24,401.40 and 6,401.49

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Solution

The fourth proportional to 16,267.59, 24,401.40 and 6,401.49 is: 9,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.59 : 24,401.40 = 6,401.49 : x
  2. Step 2: Convert to fraction form
    16,267.59/24,401.40 = 6,401.49/x
  3. Step 3: Cross multiply
    16,267.59x = 24,401.40 × 6,401.49
  4. Step 4: Simplify right side
    16,267.59x = 156,205,318.09
  5. Step 5: Solve for x
    x = 156,205,318.09/16,267.59
  6. Step 6: Final answer
    x = 9,602.24

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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.