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Finding the Fourth Proportional to 16,003.10, 24,004.65 and 9,782.30

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Solution

The fourth proportional to 16,003.10, 24,004.65 and 9,782.30 is: 14,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.10 : 24,004.65 = 9,782.30 : x
  2. Step 2: Convert to fraction form
    16,003.10/24,004.65 = 9,782.30/x
  3. Step 3: Cross multiply
    16,003.10x = 24,004.65 × 9,782.30
  4. Step 4: Simplify right side
    16,003.10x = 234,820,687.70
  5. Step 5: Solve for x
    x = 234,820,687.70/16,003.10
  6. Step 6: Final answer
    x = 14,673.45

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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.