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Finding the Fourth Proportional to 16,284.24, 24,409.95 and 6,419.70

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Solution

The fourth proportional to 16,284.24, 24,409.95 and 6,419.70 is: 9,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.24 : 24,409.95 = 6,419.70 : x
  2. Step 2: Convert to fraction form
    16,284.24/24,409.95 = 6,419.70/x
  3. Step 3: Cross multiply
    16,284.24x = 24,409.95 × 6,419.70
  4. Step 4: Simplify right side
    16,284.24x = 156,704,556.02
  5. Step 5: Solve for x
    x = 156,704,556.02/16,284.24
  6. Step 6: Final answer
    x = 9,623.08

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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.