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Finding the Fourth Proportional to 23,813.68, 35,713.22 and 16,465.36

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Solution

The fourth proportional to 23,813.68, 35,713.22 and 16,465.36 is: 24,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.68 : 35,713.22 = 16,465.36 : x
  2. Step 2: Convert to fraction form
    23,813.68/35,713.22 = 16,465.36/x
  3. Step 3: Cross multiply
    23,813.68x = 35,713.22 × 16,465.36
  4. Step 4: Simplify right side
    23,813.68x = 588,031,024.06
  5. Step 5: Solve for x
    x = 588,031,024.06/23,813.68
  6. Step 6: Final answer
    x = 24,692.99

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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.