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Finding the Fourth Proportional to 16,153.60, 24,231.36 and 6,289.60

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Solution

The fourth proportional to 16,153.60, 24,231.36 and 6,289.60 is: 9,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.60 : 24,231.36 = 6,289.60 : x
  2. Step 2: Convert to fraction form
    16,153.60/24,231.36 = 6,289.60/x
  3. Step 3: Cross multiply
    16,153.60x = 24,231.36 × 6,289.60
  4. Step 4: Simplify right side
    16,153.60x = 152,405,561.86
  5. Step 5: Solve for x
    x = 152,405,561.86/16,153.60
  6. Step 6: Final answer
    x = 9,434.77

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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.