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Finding the Fourth Proportional to 20,825.78, 28,709.67 and 14,847.07

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Solution

The fourth proportional to 20,825.78, 28,709.67 and 14,847.07 is: 20,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.78 : 28,709.67 = 14,847.07 : x
  2. Step 2: Convert to fraction form
    20,825.78/28,709.67 = 14,847.07/x
  3. Step 3: Cross multiply
    20,825.78x = 28,709.67 × 14,847.07
  4. Step 4: Simplify right side
    20,825.78x = 426,254,480.17
  5. Step 5: Solve for x
    x = 426,254,480.17/20,825.78
  6. Step 6: Final answer
    x = 20,467.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.