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Finding the Fourth Proportional to 16,003.60, 24,005.40 and 9,782.80

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Solution

The fourth proportional to 16,003.60, 24,005.40 and 9,782.80 is: 14,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.60 : 24,005.40 = 9,782.80 : x
  2. Step 2: Convert to fraction form
    16,003.60/24,005.40 = 9,782.80/x
  3. Step 3: Cross multiply
    16,003.60x = 24,005.40 × 9,782.80
  4. Step 4: Simplify right side
    16,003.60x = 234,840,027.12
  5. Step 5: Solve for x
    x = 234,840,027.12/16,003.60
  6. Step 6: Final answer
    x = 14,674.20

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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.