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Finding the Fourth Proportional to 16,292.56, 24,438.54 and 5,199.16

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Solution

The fourth proportional to 16,292.56, 24,438.54 and 5,199.16 is: 7,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.56 : 24,438.54 = 5,199.16 : x
  2. Step 2: Convert to fraction form
    16,292.56/24,438.54 = 5,199.16/x
  3. Step 3: Cross multiply
    16,292.56x = 24,438.54 × 5,199.16
  4. Step 4: Simplify right side
    16,292.56x = 127,059,879.63
  5. Step 5: Solve for x
    x = 127,059,879.63/16,292.56
  6. Step 6: Final answer
    x = 7,798.64

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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.