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Finding the Fourth Proportional to 16,302.60, 24,453.68 and 5,209.14

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Solution

The fourth proportional to 16,302.60, 24,453.68 and 5,209.14 is: 7,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.60 : 24,453.68 = 5,209.14 : x
  2. Step 2: Convert to fraction form
    16,302.60/24,453.68 = 5,209.14/x
  3. Step 3: Cross multiply
    16,302.60x = 24,453.68 × 5,209.14
  4. Step 4: Simplify right side
    16,302.60x = 127,382,642.64
  5. Step 5: Solve for x
    x = 127,382,642.64/16,302.60
  6. Step 6: Final answer
    x = 7,813.64

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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.