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Finding the Fourth Proportional to 16,187.54, 24,284.07 and 7,423.20

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Solution

The fourth proportional to 16,187.54, 24,284.07 and 7,423.20 is: 11,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.54 : 24,284.07 = 7,423.20 : x
  2. Step 2: Convert to fraction form
    16,187.54/24,284.07 = 7,423.20/x
  3. Step 3: Cross multiply
    16,187.54x = 24,284.07 × 7,423.20
  4. Step 4: Simplify right side
    16,187.54x = 180,265,508.42
  5. Step 5: Solve for x
    x = 180,265,508.42/16,187.54
  6. Step 6: Final answer
    x = 11,136.07

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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.