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Finding the Fourth Proportional to 16,399.40, 24,605.24 and 9,830.28

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Solution

The fourth proportional to 16,399.40, 24,605.24 and 9,830.28 is: 14,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.40 : 24,605.24 = 9,830.28 : x
  2. Step 2: Convert to fraction form
    16,399.40/24,605.24 = 9,830.28/x
  3. Step 3: Cross multiply
    16,399.40x = 24,605.24 × 9,830.28
  4. Step 4: Simplify right side
    16,399.40x = 241,876,398.67
  5. Step 5: Solve for x
    x = 241,876,398.67/16,399.40
  6. Step 6: Final answer
    x = 14,749.10

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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.