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Finding the Fourth Proportional to 16,400.33, 24,604.13 and 4,712.63

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Solution

The fourth proportional to 16,400.33, 24,604.13 and 4,712.63 is: 7,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.33 : 24,604.13 = 4,712.63 : x
  2. Step 2: Convert to fraction form
    16,400.33/24,604.13 = 4,712.63/x
  3. Step 3: Cross multiply
    16,400.33x = 24,604.13 × 4,712.63
  4. Step 4: Simplify right side
    16,400.33x = 115,950,014.58
  5. Step 5: Solve for x
    x = 115,950,014.58/16,400.33
  6. Step 6: Final answer
    x = 7,069.98

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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.