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Finding the Fourth Proportional to 16,225.68, 24,333.66 and 5,835

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Solution

The fourth proportional to 16,225.68, 24,333.66 and 5,835 is: 8,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.68 : 24,333.66 = 5,835 : x
  2. Step 2: Convert to fraction form
    16,225.68/24,333.66 = 5,835/x
  3. Step 3: Cross multiply
    16,225.68x = 24,333.66 × 5,835
  4. Step 4: Simplify right side
    16,225.68x = 141,986,906.10
  5. Step 5: Solve for x
    x = 141,986,906.10/16,225.68
  6. Step 6: Final answer
    x = 8,750.75

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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.