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Finding the Fourth Proportional to 16,447.60, 24,671.40 and 11,225.20

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Solution

The fourth proportional to 16,447.60, 24,671.40 and 11,225.20 is: 16,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.60 : 24,671.40 = 11,225.20 : x
  2. Step 2: Convert to fraction form
    16,447.60/24,671.40 = 11,225.20/x
  3. Step 3: Cross multiply
    16,447.60x = 24,671.40 × 11,225.20
  4. Step 4: Simplify right side
    16,447.60x = 276,941,399.28
  5. Step 5: Solve for x
    x = 276,941,399.28/16,447.60
  6. Step 6: Final answer
    x = 16,837.80

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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.