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Finding the Fourth Proportional to 16,302.30, 24,453.63 and 5,208.90

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Solution

The fourth proportional to 16,302.30, 24,453.63 and 5,208.90 is: 7,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.30 : 24,453.63 = 5,208.90 : x
  2. Step 2: Convert to fraction form
    16,302.30/24,453.63 = 5,208.90/x
  3. Step 3: Cross multiply
    16,302.30x = 24,453.63 × 5,208.90
  4. Step 4: Simplify right side
    16,302.30x = 127,376,513.31
  5. Step 5: Solve for x
    x = 127,376,513.31/16,302.30
  6. Step 6: Final answer
    x = 7,813.41

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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.