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Finding the Fourth Proportional to 16,309.60, 24,464.40 and 8,533.60

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Solution

The fourth proportional to 16,309.60, 24,464.40 and 8,533.60 is: 12,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.60 : 24,464.40 = 8,533.60 : x
  2. Step 2: Convert to fraction form
    16,309.60/24,464.40 = 8,533.60/x
  3. Step 3: Cross multiply
    16,309.60x = 24,464.40 × 8,533.60
  4. Step 4: Simplify right side
    16,309.60x = 208,769,403.84
  5. Step 5: Solve for x
    x = 208,769,403.84/16,309.60
  6. Step 6: Final answer
    x = 12,800.40

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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.