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Finding the Fourth Proportional to 16,147.60, 22,284.48 and 9,076.24

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Solution

The fourth proportional to 16,147.60, 22,284.48 and 9,076.24 is: 12,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.60 : 22,284.48 = 9,076.24 : x
  2. Step 2: Convert to fraction form
    16,147.60/22,284.48 = 9,076.24/x
  3. Step 3: Cross multiply
    16,147.60x = 22,284.48 × 9,076.24
  4. Step 4: Simplify right side
    16,147.60x = 202,259,288.76
  5. Step 5: Solve for x
    x = 202,259,288.76/16,147.60
  6. Step 6: Final answer
    x = 12,525.66

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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.