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Finding the Fourth Proportional to 16,292.79, 24,438.67 and 5,200.16

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Solution

The fourth proportional to 16,292.79, 24,438.67 and 5,200.16 is: 7,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.79 : 24,438.67 = 5,200.16 : x
  2. Step 2: Convert to fraction form
    16,292.79/24,438.67 = 5,200.16/x
  3. Step 3: Cross multiply
    16,292.79x = 24,438.67 × 5,200.16
  4. Step 4: Simplify right side
    16,292.79x = 127,084,858.99
  5. Step 5: Solve for x
    x = 127,084,858.99/16,292.79
  6. Step 6: Final answer
    x = 7,800.07

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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.